213956876880 has 120 divisors (see below), whose sum is σ = 760805526312. Its totient is φ = 53698977792.

The previous prime is 213956876879. The next prime is 213956876891. The reversal of 213956876880 is 88678659312.

213956876880 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 568 + 7 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43612474896 + 170344401984 = 208836^2 + 412728^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8727829 + ... + 8752308.

Almost surely, 2^213956876880 is an apocalyptic number.

213956876880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213956876880 is an abundant number, since it is smaller than the sum of its proper divisors (546848649432).

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

213956876880 is a wasteful number, since it uses less digits than its factorization.

213956876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17480173 (or 17480164 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 213956876880 in words is "two hundred thirteen billion, nine hundred fifty-six million, eight hundred seventy-six thousand, eight hundred eighty".