252985401600 has 108 divisors (see below), whose sum is σ = 834904593936. Its totient is φ = 67462768640.

The previous prime is 252985401589. The next prime is 252985401611. The reversal of 252985401600 is 6104589252.

It is an interprime number because it is at equal distance from previous prime (252985401589) and next prime (252985401611).

It is a super-2 number, since 2×252985401600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6568962 + ... + 6607361.

It is an arithmetic number, because the mean of its divisors is an integer number (7730598092).

Almost surely, 2^252985401600 is an apocalyptic number.

252985401600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252985401600 is an abundant number, since it is smaller than the sum of its proper divisors (581919192336).

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

252985401600 is a wasteful number, since it uses less digits than its factorization.

252985401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176352 (or 13176333 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 252985401600 in words is "two hundred fifty-two billion, nine hundred eighty-five million, four hundred one thousand, six hundred".