252848088864 has 960 divisors, whose sum is σ = 972133747200. Its totient is φ = 62742822912.

The previous prime is 252848088863. The next prime is 252848088917. The reversal of 252848088864 is 468880848252.

252848088864 is a `hidden beast` number, since 2 + 528 + 48 + 0 + 8 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (252848088863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 205734202 + ... + 205735430.

It is an arithmetic number, because the mean of its divisors is an integer number (1012639320).

Almost surely, 2^252848088864 is an apocalyptic number.

252848088864 is a gapful number since it is divisible by the number (24) 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 252848088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486066873600).

252848088864 is an abundant number, since it is smaller than the sum of its proper divisors (719285658336).

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

252848088864 is a wasteful number, since it uses less digits than its factorization.

252848088864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 252848088864 in words is "two hundred fifty-two billion, eight hundred forty-eight million, eighty-eight thousand, eight hundred sixty-four".