54487959507216 has 135 divisors (see below), whose sum is σ = 157576281044247. Its totient is φ = 17575875339840.

The previous prime is 54487959507197. The next prime is 54487959507217. The reversal of 54487959507216 is 61270595978445.

The square root of 54487959507216 is 7381596.

It is a perfect power (a square), and thus also a powerful number.

54487959507216 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 7 + 9 + 595 + 0 + 7 + 21 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (54487959507217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2745943791 + ... + 2745963633.

Almost surely, 2^{54487959507216} is an apocalyptic number.

54487959507216 is the 7381596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54487959507216

54487959507216 is an abundant number, since it is smaller than the sum of its proper divisors (103088321537031).

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

54487959507216 is an frugal number, since it uses more digits than its factorization.

54487959507216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39762 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 54487959507216 in words is "fifty-four trillion, four hundred eighty-seven billion, nine hundred fifty-nine million, five hundred seven thousand, two hundred sixteen".