252632764560 has 320 divisors, whose sum is σ = 885851873280. Its totient is φ = 58996439040.

The previous prime is 252632764547. The next prime is 252632764577. The reversal of 252632764560 is 65467236252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35443717 + ... + 35450843.

It is an arithmetic number, because the mean of its divisors is an integer number (2768287104).

Almost surely, 2^252632764560 is an apocalyptic number.

252632764560 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 252632764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442925936640).

252632764560 is an abundant number, since it is smaller than the sum of its proper divisors (633219108720).

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

252632764560 is a wasteful number, since it uses less digits than its factorization.

252632764560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 252632764560 in words is "two hundred fifty-two billion, six hundred thirty-two million, seven hundred sixty-four thousand, five hundred sixty".