252700473600 has 864 divisors, whose sum is σ = 963538329600. Its totient is φ = 64757145600.

The previous prime is 252700473547. The next prime is 252700473677. The reversal of 252700473600 is 6374007252.

It is a happy number.

252700473600 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 0 + 0 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527558161 + ... + 527558639.

It is an arithmetic number, because the mean of its divisors is an integer number (1115206400).

Almost surely, 2^252700473600 is an apocalyptic number.

252700473600 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 252700473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481769164800).

252700473600 is an abundant number, since it is smaller than the sum of its proper divisors (710837856000).

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

252700473600 is a wasteful number, since it uses less digits than its factorization.

252700473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 252700473600 in words is "two hundred fifty-two billion, seven hundred million, four hundred seventy-three thousand, six hundred".