21813040824 has 64 divisors (see below), whose sum is σ = 55929968640. Its totient is φ = 7086518400.

The previous prime is 21813040811. The next prime is 21813040831. The reversal of 21813040824 is 42804031812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135289 + ... + 248855.

It is an arithmetic number, because the mean of its divisors is an integer number (873905760).

Almost surely, 2^21813040824 is an apocalyptic number.

21813040824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21813040824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964984320).

21813040824 is an abundant number, since it is smaller than the sum of its proper divisors (34116927816).

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

21813040824 is a wasteful number, since it uses less digits than its factorization.

21813040824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113780 (or 113776 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 21813040824 in words is "twenty-one billion, eight hundred thirteen million, forty thousand, eight hundred twenty-four".