252939110400 has 1152 divisors, whose sum is σ = 1009060416000. Its totient is φ = 61860741120.

The previous prime is 252939110377. The next prime is 252939110419. The reversal of 252939110400 is 4011939252.

252939110400 is a `hidden beast` number, since 2 + 52 + 93 + 9 + 110 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1104537486 + ... + 1104537714.

It is an arithmetic number, because the mean of its divisors is an integer number (875920500).

Almost surely, 2^252939110400 is an apocalyptic number.

252939110400 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 252939110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504530208000).

252939110400 is an abundant number, since it is smaller than the sum of its proper divisors (756121305600).

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

252939110400 is a wasteful number, since it uses less digits than its factorization.

252939110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 252939110400 in words is "two hundred fifty-two billion, nine hundred thirty-nine million, one hundred ten thousand, four hundred".