21893836800 has 936 divisors, whose sum is σ = 86455022080. Its totient is φ = 4866048000.

The previous prime is 21893836759. The next prime is 21893836807. The reversal of 21893836800 is 863839812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21893836800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21893836807) 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 71 ways as a sum of consecutive naturals, for example, 706252785 + ... + 706252815.

Almost surely, 2^21893836800 is an apocalyptic number.

21893836800 is a gapful number since it is divisible by the number (20) 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 21893836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43227511040).

21893836800 is an abundant number, since it is smaller than the sum of its proper divisors (64561185280).

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

21893836800 is a wasteful number, since it uses less digits than its factorization.

21893836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 21893836800 in words is "twenty-one billion, eight hundred ninety-three million, eight hundred thirty-six thousand, eight hundred".