213931560960 has 1248 divisors, whose sum is σ = 870127964160. Its totient is φ = 48157949952.

The previous prime is 213931560959. The next prime is 213931560989. The reversal of 213931560960 is 69065139312.

213931560960 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 31 + 5 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×213931560960² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1684500417 + ... + 1684500543.

It is an arithmetic number, because the mean of its divisors is an integer number (697217920).

Almost surely, 2^213931560960 is an apocalyptic number.

213931560960 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 213931560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435063982080).

213931560960 is an abundant number, since it is smaller than the sum of its proper divisors (656196403200).

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

213931560960 is a wasteful number, since it uses less digits than its factorization.

213931560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 213931560960 in words is "two hundred thirteen billion, nine hundred thirty-one million, five hundred sixty thousand, nine hundred sixty".