252417831936000 has 896 divisors, whose sum is σ = 846689461263360. Its totient is φ = 66777513984000.

The previous prime is 252417831935999. The next prime is 252417831936007. The reversal of 252417831936000 is 639138714252.

It is not an unprimeable number, because it can be changed into a prime (252417831936007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271709183536 + ... + 271709184464.

It is a 1-persistent number, because it is pandigital, but 2⋅252417831936000 = 504835663872000 is not.

Almost surely, 2^{252417831936000} is an apocalyptic number.

252417831936000 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 252417831936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423344730631680).

252417831936000 is an abundant number, since it is smaller than the sum of its proper divisors (594271629327360).

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

252417831936000 is an equidigital number, since it uses as much as digits as its factorization.

252417831936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 252417831936000 in words is "two hundred fifty-two trillion, four hundred seventeen billion, eight hundred thirty-one million, nine hundred thirty-six thousand".