216407370880 has 64 divisors (see below), whose sum is σ = 517509372600. Its totient is φ = 86536093696.

The previous prime is 216407370859. The next prime is 216407370929. The reversal of 216407370880 is 88073704612.

216407370880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 168684346944 + 47723023936 = 410712^2 + 218456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 216407370880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2079774 + ... + 2181346.

Almost surely, 2^216407370880 is an apocalyptic number.

216407370880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216407370880 is an abundant number, since it is smaller than the sum of its proper divisors (301102001720).

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

216407370880 is a wasteful number, since it uses less digits than its factorization.

216407370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104921 (or 104909 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 216407370880 in words is "two hundred sixteen billion, four hundred seven million, three hundred seventy thousand, eight hundred eighty".