252662848560 has 80 divisors (see below), whose sum is σ = 870283152480. Its totient is φ = 67376759040.

The previous prime is 252662848523. The next prime is 252662848567. The reversal of 252662848560 is 65848266252.

252662848560 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 628 + 4 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252662848497 and 252662848506.

It is not an unprimeable number, because it can be changed into a prime (252662848567) 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, 58484611 + ... + 58488930.

It is an arithmetic number, because the mean of its divisors is an integer number (10878539406).

Almost surely, 2^252662848560 is an apocalyptic number.

252662848560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252662848560 is an abundant number, since it is smaller than the sum of its proper divisors (617620303920).

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

252662848560 is a wasteful number, since it uses less digits than its factorization.

252662848560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116973563 (or 116973551 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 252662848560 in words is "two hundred fifty-two billion, six hundred sixty-two million, eight hundred forty-eight thousand, five hundred sixty".