213917505120 has 384 divisors, whose sum is σ = 819192890880. Its totient is φ = 51705354240.

The previous prime is 213917505079. The next prime is 213917505181. The reversal of 213917505120 is 21505719312.

213917505120 is a `hidden beast` number, since 2 + 1 + 3 + 91 + 7 + 50 + 512 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 16482954 + ... + 16495926.

It is an arithmetic number, because the mean of its divisors is an integer number (2133314820).

Almost surely, 2^213917505120 is an apocalyptic number.

213917505120 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 213917505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409596445440).

213917505120 is an abundant number, since it is smaller than the sum of its proper divisors (605275385760).

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

213917505120 is a wasteful number, since it uses less digits than its factorization.

213917505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 213917505120 in words is "two hundred thirteen billion, nine hundred seventeen million, five hundred five thousand, one hundred twenty".