252079200000 has 648 divisors, whose sum is σ = 918335972736. Its totient is φ = 66493440000.

The previous prime is 252079199941. The next prime is 252079200047. The reversal of 252079200000 is 2970252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1130399889 + ... + 1130400111.

Almost surely, 2^252079200000 is an apocalyptic number.

252079200000 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 252079200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459167986368).

252079200000 is an abundant number, since it is smaller than the sum of its proper divisors (666256772736).

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

252079200000 is an equidigital number, since it uses as much as digits as its factorization.

252079200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 252079200000 in words is "two hundred fifty-two billion, seventy-nine million, two hundred thousand".