252856922400 has 360 divisors, whose sum is σ = 924536802420. Its totient is φ = 67251824640.

The previous prime is 252856922363. The next prime is 252856922569. The reversal of 252856922400 is 4229658252.

It is a happy number.

252856922400 is a `hidden beast` number, since 2 + 5 + 28 + 569 + 22 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 172321293456 + 80535628944 = 415116^2 + 283788^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25720686 + ... + 25730514.

Almost surely, 2^252856922400 is an apocalyptic number.

252856922400 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 252856922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462268401210).

252856922400 is an abundant number, since it is smaller than the sum of its proper divisors (671679880020).

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

252856922400 is a wasteful number, since it uses less digits than its factorization.

252856922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 252856922400 in words is "two hundred fifty-two billion, eight hundred fifty-six million, nine hundred twenty-two thousand, four hundred".