54980371265625 has 343 divisors, whose sum is σ = 111626383644469. Its totient is φ = 27067259700000.

The previous prime is 54980371265623. The next prime is 54980371265627. The reversal of 54980371265625 is 52656217308945.

The square root of 54980371265625 is 7414875.

The cubic root of 54980371265625 is 38025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

54980371265625 is a `hidden beast` number, since 5 + 49 + 8 + 0 + 3 + 7 + 1 + 26 + 562 + 5 = 666.

54980371265625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54980371265623) and next prime (54980371265627).

It can be written as a sum of positive squares in 24 ways, for example, as 54941138748441 + 39232517184 = 7412229^2 + 198072^2 .

It is not a de Polignac number, because 54980371265625 - 2¹ = 54980371265623 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54980371265623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 342 ways as a sum of consecutive naturals, for example, 4229259328119 + ... + 4229259328131.

It is a 1-persistent number, because it is pandigital, but 2⋅54980371265625 = 109960742531250 is not.

Almost surely, 2^{54980371265625} is an apocalyptic number.

54980371265625 is the 7414875-th square number.

54980371265625 is the 3707438-th centered octagonal number.

It is an amenable number.

54980371265625 is an abundant number, since it is smaller than the sum of its proper divisors (56646012378844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54980371265625 is an frugal number, since it uses more digits than its factorization.

54980371265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 54980371265625 in words is "fifty-four trillion, nine hundred eighty billion, three hundred seventy-one million, two hundred sixty-five thousand, six hundred twenty-five".