54739488960 has 280 divisors, whose sum is σ = 209697590256. Its totient is φ = 13474252800.

The previous prime is 54739488959. The next prime is 54739488961. The reversal of 54739488960 is 6988493745.

54739488960 is a `hidden beast` number, since 547 + 3 + 9 + 4 + 8 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54739488959) and next prime (54739488961).

It is not an unprimeable number, because it can be changed into a prime (54739488961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255735 + ... + 418185.

Almost surely, 2^54739488960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54739488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104848795128).

54739488960 is an abundant number, since it is smaller than the sum of its proper divisors (154958101296).

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

54739488960 is a wasteful number, since it uses less digits than its factorization.

54739488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162493 (or 162474 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 54739488960 in words is "fifty-four billion, seven hundred thirty-nine million, four hundred eighty-eight thousand, nine hundred sixty".