21713531040 has 72 divisors (see below), whose sum is σ = 74097429588. Its totient is φ = 5790274560.

The previous prime is 21713531039. The next prime is 21713531053. The reversal of 21713531040 is 4013531712.

21713531040 is a `hidden beast` number, since 21 + 71 + 3 + 531 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17892807696 + 3820723344 = 133764^2 + 61812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 21713530995 and 21713531013.

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 11 ways as a sum of consecutive naturals, for example, 7537981 + ... + 7540860.

Almost surely, 2^21713531040 is an apocalyptic number.

21713531040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21713531040 is an abundant number, since it is smaller than the sum of its proper divisors (52383898548).

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

21713531040 is a wasteful number, since it uses less digits than its factorization.

21713531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078862 (or 15078851 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 21713531040 in words is "twenty-one billion, seven hundred thirteen million, five hundred thirty-one thousand, forty".