52689600698625 has 384 divisors, whose sum is σ = 112140252956160. Its totient is φ = 23522088960000.

The previous prime is 52689600698599. The next prime is 52689600698653.

52689600698625 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 9 + 600 + 6 + 9 + 8 + 6 + 2 + 5 = 666.

52689600698625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52689600698625 - 2¹⁸ = 52689600436481 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9543485865 + ... + 9543491385.

It is an arithmetic number, because the mean of its divisors is an integer number (292031908740).

Almost surely, 2^{52689600698625} is an apocalyptic number.

52689600698625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52689600698625 is an abundant number, since it is smaller than the sum of its proper divisors (59450652257535).

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

52689600698625 is a wasteful number, since it uses less digits than its factorization.

52689600698625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 52689600698625 in words is "fifty-two trillion, six hundred eighty-nine billion, six hundred million, six hundred ninety-eight thousand, six hundred twenty-five".