252868131072000 has 768 divisors, whose sum is σ = 957623478739200. Its totient is φ = 65786757120000.

The previous prime is 252868131071947. The next prime is 252868131072001. The reversal of 252868131072000 is 270131868252.

252868131072000 is a `hidden beast` number, since 2 + 52 + 8 + 6 + 81 + 310 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (252868131072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282945855 + ... + 283838145.

It is an arithmetic number, because the mean of its divisors is an integer number (1246905571275).

Almost surely, 2^{252868131072000} is an apocalyptic number.

252868131072000 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 252868131072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478811739369600).

252868131072000 is an abundant number, since it is smaller than the sum of its proper divisors (704755347667200).

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

252868131072000 is an equidigital number, since it uses as much as digits as its factorization.

252868131072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892378 (or 892342 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 252868131072000 in words is "two hundred fifty-two trillion, eight hundred sixty-eight billion, one hundred thirty-one million, seventy-two thousand".