252157730304 has 160 divisors (see below), whose sum is σ = 706753577376. Its totient is φ = 79785492480.

The previous prime is 252157730303. The next prime is 252157730311. The reversal of 252157730304 is 403037751252.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252157730303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276004 + ... + 2384220.

Almost surely, 2^252157730304 is an apocalyptic number.

252157730304 is a gapful number since it is divisible by the number (24) 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 252157730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353376788688).

252157730304 is an abundant number, since it is smaller than the sum of its proper divisors (454595847072).

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

252157730304 is a wasteful number, since it uses less digits than its factorization.

252157730304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108316 (or 108300 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 252157730304 in words is "two hundred fifty-two billion, one hundred fifty-seven million, seven hundred thirty thousand, three hundred four".