252854784000 has 2080 divisors, whose sum is σ = 1177535014656. Its totient is φ = 52553318400.

The previous prime is 252854783989. The next prime is 252854784019. The reversal of 252854784000 is 487458252.

252854784000 is a `hidden beast` number, since 2 + 5 + 28 + 547 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3773951967 + ... + 3773952033.

Almost surely, 2^252854784000 is an apocalyptic number.

252854784000 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 252854784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588767507328).

252854784000 is an abundant number, since it is smaller than the sum of its proper divisors (924680230656).

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

252854784000 is an equidigital number, since it uses as much as digits as its factorization.

252854784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 252854784000 in words is "two hundred fifty-two billion, eight hundred fifty-four million, seven hundred eighty-four thousand".