252888007680 has 1056 divisors, whose sum is σ = 1100668428288. Its totient is φ = 52155187200.

The previous prime is 252888007633. The next prime is 252888007781. The reversal of 252888007680 is 86700888252.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 933165945 + ... + 933166215.

It is an arithmetic number, because the mean of its divisors is an integer number (1042299648).

Almost surely, 2^252888007680 is an apocalyptic number.

252888007680 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 252888007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550334214144).

252888007680 is an abundant number, since it is smaller than the sum of its proper divisors (847780420608).

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

252888007680 is a wasteful number, since it uses less digits than its factorization.

252888007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 252888007680 in words is "two hundred fifty-two billion, eight hundred eighty-eight million, seven thousand, six hundred eighty".