252888480000 has 1800 divisors, whose sum is σ = 1081696246400. Its totient is φ = 58226688000.

The previous prime is 252888479917. The next prime is 252888480001. The reversal of 252888480000 is 84888252.

252888480000 is a `hidden beast` number, since 2 + 528 + 88 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252888480001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3201119961 + ... + 3201120039.

Almost surely, 2^252888480000 is an apocalyptic number.

252888480000 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 252888480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540848123200).

252888480000 is an abundant number, since it is smaller than the sum of its proper divisors (828807766400).

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

252888480000 is an equidigital number, since it uses as much as digits as its factorization.

252888480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 252888480000 in words is "two hundred fifty-two billion, eight hundred eighty-eight million, four hundred eighty thousand".