213157612800 has 864 divisors, whose sum is σ = 860371599360. Its totient is φ = 51209625600.

The previous prime is 213157612771. The next prime is 213157612891. The reversal of 213157612800 is 8216751312.

213157612800 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 576 + 1 + 2 + 80 + 0 = 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 a congruent number.

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, 241401159 + ... + 241402041.

Almost surely, 2^213157612800 is an apocalyptic number.

213157612800 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 213157612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430185799680).

213157612800 is an abundant number, since it is smaller than the sum of its proper divisors (647213986560).

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

213157612800 is a wasteful number, since it uses less digits than its factorization.

213157612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 213157612800 in words is "two hundred thirteen billion, one hundred fifty-seven million, six hundred twelve thousand, eight hundred".