21791899800 has 288 divisors, whose sum is σ = 82796575680. Its totient is φ = 5282755200.

The previous prime is 21791899793. The next prime is 21791899819. The reversal of 21791899800 is 899819712.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514219 + ... + 554981.

It is an arithmetic number, because the mean of its divisors is an integer number (287488110).

Almost surely, 2^21791899800 is an apocalyptic number.

21791899800 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 21791899800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41398287840).

21791899800 is an abundant number, since it is smaller than the sum of its proper divisors (61004675880).

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

21791899800 is a wasteful number, since it uses less digits than its factorization.

21791899800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40805 (or 40784 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 21791899800 in words is "twenty-one billion, seven hundred ninety-one million, eight hundred ninety-nine thousand, eight hundred".