21075468804 has 108 divisors (see below), whose sum is σ = 58035571776. Its totient is φ = 6445617984.

The previous prime is 21075468737. The next prime is 21075468811. The reversal of 21075468804 is 40886457012.

21075468804 is a `hidden beast` number, since 2 + 107 + 5 + 468 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21075468804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1005657 + ... + 1026399.

Almost surely, 2^21075468804 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 21075468804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29017785888).

21075468804 is an abundant number, since it is smaller than the sum of its proper divisors (36960102972).

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

21075468804 is a wasteful number, since it uses less digits than its factorization.

21075468804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 20928 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 21075468804 in words is "twenty-one billion, seventy-five million, four hundred sixty-eight thousand, eight hundred four".