252315233280 has 1760 divisors, whose sum is σ = 1078567902720. Its totient is φ = 55738368000.

The previous prime is 252315233237. The next prime is 252315233341. The reversal of 252315233280 is 82332513252.

252315233280 is a `hidden beast` number, since 2 + 5 + 2 + 315 + 2 + 332 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3553735645 + ... + 3553735715.

It is an arithmetic number, because the mean of its divisors is an integer number (612822672).

Almost surely, 2^252315233280 is an apocalyptic number.

252315233280 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 252315233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539283951360).

252315233280 is an abundant number, since it is smaller than the sum of its proper divisors (826252669440).

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

252315233280 is a wasteful number, since it uses less digits than its factorization.

252315233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 252315233280 in words is "two hundred fifty-two billion, three hundred fifteen million, two hundred thirty-three thousand, two hundred eighty".