252701935368960 has 576 divisors, whose sum is σ = 1019996989885440. Its totient is φ = 51790180515840.

The previous prime is 252701935368917. The next prime is 252701935368997. The reversal of 252701935368960 is 69863539107252.

It is a super-2 number, since 2×252701935368960² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 252701935368891 and 252701935368900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15730896 + ... + 27438384.

It is an arithmetic number, because the mean of its divisors is an integer number (1770828107440).

Almost surely, 2^{252701935368960} is an apocalyptic number.

252701935368960 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 252701935368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509998494942720).

252701935368960 is an abundant number, since it is smaller than the sum of its proper divisors (767295054516480).

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

252701935368960 is a wasteful number, since it uses less digits than its factorization.

252701935368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707604 (or 11707590 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 66.

The spelling of 252701935368960 in words is "two hundred fifty-two trillion, seven hundred one billion, nine hundred thirty-five million, three hundred sixty-eight thousand, nine hundred sixty".