252855482880 has 1280 divisors, whose sum is σ = 1121400225792. Its totient is φ = 46891008000.

The previous prime is 252855482857. The next prime is 252855482897. The reversal of 252855482880 is 88284558252.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 252855482880.

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, 238317550 + ... + 238318610.

Almost surely, 2^252855482880 is an apocalyptic number.

252855482880 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 252855482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560700112896).

252855482880 is an abundant number, since it is smaller than the sum of its proper divisors (868544742912).

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

252855482880 is a wasteful number, since it uses less digits than its factorization.

252855482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 16384000, while the sum is 57.

The spelling of 252855482880 in words is "two hundred fifty-two billion, eight hundred fifty-five million, four hundred eighty-two thousand, eight hundred eighty".