21122933760 has 660 divisors, whose sum is σ = 79688833884. Its totient is φ = 5348229120.

The previous prime is 21122933743. The next prime is 21122933773. The reversal of 21122933760 is 6733922112.

It can be written as a sum of positive squares in 2 ways, for example, as 11478122496 + 9644811264 = 107136^2 + 98208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 398545894 + ... + 398545946.

Almost surely, 2^21122933760 is an apocalyptic number.

21122933760 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 21122933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39844416942).

21122933760 is an abundant number, since it is smaller than the sum of its proper divisors (58565900124).

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

21122933760 is an equidigital number, since it uses as much as digits as its factorization.

21122933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 21122933760 in words is "twenty-one billion, one hundred twenty-two million, nine hundred thirty-three thousand, seven hundred sixty".