21624906096 has 160 divisors (see below), whose sum is σ = 64540313600. Its totient is φ = 6924994560.

The previous prime is 21624906073. The next prime is 21624906101. The reversal of 21624906096 is 69060942612.

21624906096 is a `hidden beast` number, since 2 + 16 + 2 + 490 + 60 + 96 = 666.

It is a super-2 number, since 2×21624906096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855680 + ... + 1867296.

It is an arithmetic number, because the mean of its divisors is an integer number (403376960).

Almost surely, 2^21624906096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21624906096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32270156800).

21624906096 is an abundant number, since it is smaller than the sum of its proper divisors (42915407504).

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

21624906096 is a wasteful number, since it uses less digits than its factorization.

21624906096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 21624906096 in words is "twenty-one billion, six hundred twenty-four million, nine hundred six thousand, ninety-six".