252525772800 has 1152 divisors, whose sum is σ = 1083891229200. Its totient is φ = 57472450560.

The previous prime is 252525772777. The next prime is 252525772861. The reversal of 252525772800 is 8277525252.

252525772800 is a `hidden beast` number, since 2 + 5 + 2 + 52 + 577 + 28 + 0 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1083801484 + ... + 1083801716.

Almost surely, 2^252525772800 is an apocalyptic number.

252525772800 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 252525772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541945614600).

252525772800 is an abundant number, since it is smaller than the sum of its proper divisors (831365456400).

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

252525772800 is an equidigital number, since it uses as much as digits as its factorization.

252525772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 252525772800 in words is "two hundred fifty-two billion, five hundred twenty-five million, seven hundred seventy-two thousand, eight hundred".