252411129600 has 216 divisors, whose sum is σ = 952011150720. Its totient is φ = 57693941760.

The previous prime is 252411129589. The next prime is 252411129613. The reversal of 252411129600 is 6921114252.

252411129600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252411129600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804630 + ... + 1073429.

Almost surely, 2^252411129600 is an apocalyptic number.

252411129600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252411129600 is an abundant number, since it is smaller than the sum of its proper divisors (699600021120).

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

252411129600 is a wasteful number, since it uses less digits than its factorization.

252411129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878095 (or 1878076 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 252411129600 in words is "two hundred fifty-two billion, four hundred eleven million, one hundred twenty-nine thousand, six hundred".