213757315200 has 1920 divisors, whose sum is σ = 951301612800. Its totient is φ = 46581350400.

The previous prime is 213757315193. The next prime is 213757315217. The reversal of 213757315200 is 2513757312.

It is a happy number.

213757315200 is a `hidden beast` number, since 2 + 1 + 37 + 573 + 1 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 2705788761 + ... + 2705788839.

It is an arithmetic number, because the mean of its divisors is an integer number (495469590).

Almost surely, 2^213757315200 is an apocalyptic number.

213757315200 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 213757315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475650806400).

213757315200 is an abundant number, since it is smaller than the sum of its proper divisors (737544297600).

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

213757315200 is a wasteful number, since it uses less digits than its factorization.

213757315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 213757315200 in words is "two hundred thirteen billion, seven hundred fifty-seven million, three hundred fifteen thousand, two hundred".