252871431074592 has 288 divisors, whose sum is σ = 751600971946944. Its totient is φ = 73818459648000.

The previous prime is 252871431074531. The next prime is 252871431074609. The reversal of 252871431074592 is 295470134178252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145146138 + ... + 146877990.

It is an arithmetic number, because the mean of its divisors is an integer number (2609725597038).

Almost surely, 2^{252871431074592} is an apocalyptic number.

252871431074592 is a gapful number since it is divisible by the number (22) 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 252871431074592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375800485973472).

252871431074592 is an abundant number, since it is smaller than the sum of its proper divisors (498729540872352).

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

252871431074592 is a wasteful number, since it uses less digits than its factorization.

252871431074592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732052 (or 1732007 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 252871431074592 in words is "two hundred fifty-two trillion, eight hundred seventy-one billion, four hundred thirty-one million, seventy-four thousand, five hundred ninety-two".