252560551293960 has 512 divisors, whose sum is σ = 982523545436160. Its totient is φ = 50475787186176.

The previous prime is 252560551293949. The next prime is 252560551293989. The reversal of 252560551293960 is 69392155065252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 252560551293894 and 252560551293903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20988042 + ... + 30750918.

It is an arithmetic number, because the mean of its divisors is an integer number (1918991299680).

Almost surely, 2^{252560551293960} is an apocalyptic number.

252560551293960 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 252560551293960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491261772718080).

252560551293960 is an abundant number, since it is smaller than the sum of its proper divisors (729962994142200).

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

252560551293960 is a wasteful number, since it uses less digits than its factorization.

252560551293960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763037 (or 9763033 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 60.

The spelling of 252560551293960 in words is "two hundred fifty-two trillion, five hundred sixty billion, five hundred fifty-one million, two hundred ninety-three thousand, nine hundred sixty".