252308640000 has 360 divisors, whose sum is σ = 847924702240. Its totient is φ = 66576384000.

The previous prime is 252308639939. The next prime is 252308640049. The reversal of 252308640000 is 46803252.

252308640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 252308640000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46557291 + ... + 46562709.

Almost surely, 2^252308640000 is an apocalyptic number.

252308640000 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 252308640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423962351120).

252308640000 is an abundant number, since it is smaller than the sum of its proper divisors (595616062240).

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

252308640000 is an frugal number, since it uses more digits than its factorization.

252308640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 252308640000 in words is "two hundred fifty-two billion, three hundred eight million, six hundred forty thousand".