252689835658104 has 256 divisors, whose sum is σ = 768358378166400. Its totient is φ = 76470477926400.

The previous prime is 252689835658097. The next prime is 252689835658109. The reversal of 252689835658104 is 401856538986252.

252689835658104 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 8 + 9 + 8 + 35 + 6 + 581 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252689835658109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2720178282 + ... + 2720271174.

Almost surely, 2^{252689835658104} is an apocalyptic number.

252689835658104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252689835658104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384179189083200).

252689835658104 is an abundant number, since it is smaller than the sum of its proper divisors (515668542508296).

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

252689835658104 is a wasteful number, since it uses less digits than its factorization.

252689835658104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108863 (or 108853 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 252689835658104 in words is "two hundred fifty-two trillion, six hundred eighty-nine billion, eight hundred thirty-five million, six hundred fifty-eight thousand, one hundred four".