252288960000 has 800 divisors, whose sum is σ = 1047421317888. Its totient is φ = 52408320000.

The previous prime is 252288959999. The next prime is 252288960041. The reversal of 252288960000 is 69882252.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73918294 + ... + 73921706.

Almost surely, 2^252288960000 is an apocalyptic number.

252288960000 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 252288960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523710658944).

252288960000 is an abundant number, since it is smaller than the sum of its proper divisors (795132357888).

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

252288960000 is an equidigital number, since it uses as much as digits as its factorization.

252288960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 252288960000 in words is "two hundred fifty-two billion, two hundred eighty-eight million, nine hundred sixty thousand".