252709610400 has 1152 divisors, whose sum is σ = 1051717685760. Its totient is φ = 58012139520.

The previous prime is 252709610393. The next prime is 252709610423. The reversal of 252709610400 is 4016907252.

252709610400 is a `hidden beast` number, since 2 + 527 + 0 + 96 + 1 + 0 + 40 + 0 = 666.

252709610400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 797191042 + ... + 797191358.

It is an arithmetic number, because the mean of its divisors is an integer number (912949380).

Almost surely, 2^252709610400 is an apocalyptic number.

252709610400 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 252709610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525858842880).

252709610400 is an abundant number, since it is smaller than the sum of its proper divisors (799008075360).

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

252709610400 is a wasteful number, since it uses less digits than its factorization.

252709610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 252709610400 in words is "two hundred fifty-two billion, seven hundred nine million, six hundred ten thousand, four hundred".