252320642560 has 480 divisors, whose sum is σ = 740775087360. Its totient is φ = 80693673984.

The previous prime is 252320642531. The next prime is 252320642569. The reversal of 252320642560 is 65246023252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252320642569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407625931 + ... + 407626549.

It is an arithmetic number, because the mean of its divisors is an integer number (1543281432).

Almost surely, 2^252320642560 is an apocalyptic number.

252320642560 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 252320642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370387543680).

252320642560 is an abundant number, since it is smaller than the sum of its proper divisors (488454444800).

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

252320642560 is an equidigital number, since it uses as much as digits as its factorization.

252320642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 252320642560 in words is "two hundred fifty-two billion, three hundred twenty million, six hundred forty-two thousand, five hundred sixty".