54087637659264 has 256 divisors, whose sum is σ = 181717362662400. Its totient is φ = 15677575879680.

The previous prime is 54087637659163. The next prime is 54087637659299. The reversal of 54087637659264 is 46295673678045.

It is a happy number.

54087637659264 is a `hidden beast` number, since 5 + 40 + 8 + 76 + 376 + 5 + 92 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54087637659192 and 54087637659201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30055194 + ... + 31803929.

It is an arithmetic number, because the mean of its divisors is an integer number (709833447900).

Almost surely, 2^{54087637659264} is an apocalyptic number.

54087637659264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54087637659264 is an abundant number, since it is smaller than the sum of its proper divisors (127629725003136).

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

54087637659264 is a wasteful number, since it uses less digits than its factorization.

54087637659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61859180 (or 61859162 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 54087637659264 in words is "fifty-four trillion, eighty-seven billion, six hundred thirty-seven million, six hundred fifty-nine thousand, two hundred sixty-four".