252658656000 has 576 divisors, whose sum is σ = 981590937600. Its totient is φ = 63825408000.

The previous prime is 252658655993. The next prime is 252658656013. The reversal of 252658656000 is 656856252.

252658656000 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 5 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16408305 + ... + 16423695.

Almost surely, 2^252658656000 is an apocalyptic number.

252658656000 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 252658656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490795468800).

252658656000 is an abundant number, since it is smaller than the sum of its proper divisors (728932281600).

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

252658656000 is a wasteful number, since it uses less digits than its factorization.

252658656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 252658656000 in words is "two hundred fifty-two billion, six hundred fifty-eight million, six hundred fifty-six thousand".