250352052402432 has 288 divisors, whose sum is σ = 696445787197440. Its totient is φ = 79687660011520.

The previous prime is 250352052402391. The next prime is 250352052402443. The reversal of 250352052402432 is 234204250253052.

It is a super-2 number, since 2×250352052402432² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32399640553 + ... + 32399648279.

It is an arithmetic number, because the mean of its divisors is an integer number (2418214538880).

Almost surely, 2^{250352052402432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250352052402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348222893598720).

250352052402432 is an abundant number, since it is smaller than the sum of its proper divisors (446093734795008).

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

250352052402432 is a wasteful number, since it uses less digits than its factorization.

250352052402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 250352052402432 in words is "two hundred fifty trillion, three hundred fifty-two billion, fifty-two million, four hundred two thousand, four hundred thirty-two".