252207812505600 has 4680 divisors, whose sum is σ = 1162830622277808. Its totient is φ = 53687196057600.

The previous prime is 252207812505569. The next prime is 252207812505643. The reversal of 252207812505600 is 6505218702252.

252207812505600 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 0 + 7 + 81 + 2 + 5 + 0 + 560 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1195297689495 + ... + 1195297689705.

Almost surely, 2^{252207812505600} is an apocalyptic number.

252207812505600 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 252207812505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581415311138904).

252207812505600 is an abundant number, since it is smaller than the sum of its proper divisors (910622809772208).

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

252207812505600 is a wasteful number, since it uses less digits than its factorization.

252207812505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 252207812505600 in words is "two hundred fifty-two trillion, two hundred seven billion, eight hundred twelve million, five hundred five thousand, six hundred".