21337804800 has 702 divisors, whose sum is σ = 83362772142. Its totient is φ = 5214044160.

The previous prime is 21337804771. The next prime is 21337804801. The reversal of 21337804800 is 840873312.

It can be written as a sum of positive squares in 9 ways, for example, as 12702191616 + 8635613184 = 112704^2 + 92928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21337804801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 155750332 + ... + 155750468.

Almost surely, 2^21337804800 is an apocalyptic number.

21337804800 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 21337804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41681386071).

21337804800 is an abundant number, since it is smaller than the sum of its proper divisors (62024967342).

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

21337804800 is a wasteful number, since it uses less digits than its factorization.

21337804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21337804800 in words is "twenty-one billion, three hundred thirty-seven million, eight hundred four thousand, eight hundred".