252959566325760 has 1920 divisors, whose sum is σ = 1048007600640000. Its totient is φ = 57165142818816.

The previous prime is 252959566325759. The next prime is 252959566325777. The reversal of 252959566325760 is 67523665959252.

It is a happy number.

252959566325760 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 5 + 9 + 566 + 3 + 2 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 232713491937 + ... + 232713493023.

It is an arithmetic number, because the mean of its divisors is an integer number (545837292000).

Almost surely, 2^{252959566325760} is an apocalyptic number.

252959566325760 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 252959566325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524003800320000).

252959566325760 is an abundant number, since it is smaller than the sum of its proper divisors (795048034314240).

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

252959566325760 is a wasteful number, since it uses less digits than its factorization.

252959566325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1837080000, while the sum is 72.

The spelling of 252959566325760 in words is "two hundred fifty-two trillion, nine hundred fifty-nine billion, five hundred sixty-six million, three hundred twenty-five thousand, seven hundred sixty".