252787657852800 has 3072 divisors, whose sum is σ = 1138887035136000. Its totient is φ = 53475390259200.

The previous prime is 252787657852759. The next prime is 252787657852901. The reversal of 252787657852800 is 8258756787252.

252787657852800 is a `hidden beast` number, since 2 + 5 + 27 + 8 + 7 + 6 + 5 + 78 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 110051221252 + ... + 110051223548.

It is an arithmetic number, because the mean of its divisors is an integer number (370731456750).

Almost surely, 2^{252787657852800} is an apocalyptic number.

252787657852800 is a gapful number since it is divisible by the number (20) 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 252787657852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569443517568000).

252787657852800 is an abundant number, since it is smaller than the sum of its proper divisors (886099377283200).

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

252787657852800 is a wasteful number, since it uses less digits than its factorization.

252787657852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 72.

The spelling of 252787657852800 in words is "two hundred fifty-two trillion, seven hundred eighty-seven billion, six hundred fifty-seven million, eight hundred fifty-two thousand, eight hundred".