252188615226800 has 360 divisors, whose sum is σ = 722086024130352. Its totient is φ = 84344924160000.

The previous prime is 252188615226787. The next prime is 252188615226817. The reversal of 252188615226800 is 8622516881252.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 8448231875 + ... + 8448261725.

Almost surely, 2^{252188615226800} is an apocalyptic number.

252188615226800 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 252188615226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361043012065176).

252188615226800 is an abundant number, since it is smaller than the sum of its proper divisors (469897408903552).

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

252188615226800 is a wasteful number, since it uses less digits than its factorization.

252188615226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40437 (or 40419 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 56.

The spelling of 252188615226800 in words is "two hundred fifty-two trillion, one hundred eighty-eight billion, six hundred fifteen million, two hundred twenty-six thousand, eight hundred".