21214200960 has 96 divisors (see below), whose sum is σ = 73255307580. Its totient is φ = 5657118720.

The previous prime is 21214200913. The next prime is 21214200961. The reversal of 21214200960 is 6900241212.

It can be written as a sum of positive squares in 2 ways, for example, as 20825953344 + 388247616 = 144312^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21214200961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1835751 + ... + 1847270.

Almost surely, 2^21214200960 is an apocalyptic number.

21214200960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214200960 is an abundant number, since it is smaller than the sum of its proper divisors (52041106620).

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

21214200960 is a wasteful number, since it uses less digits than its factorization.

21214200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683046 (or 3683031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21214200960 in words is "twenty-one billion, two hundred fourteen million, two hundred thousand, nine hundred sixty".