21022329960 has 192 divisors, whose sum is σ = 71322198480. Its totient is φ = 5364817920.

The previous prime is 21022329959. The next prime is 21022329983. The reversal of 21022329960 is 6992322012.

It can be written as a sum of positive squares in 8 ways, for example, as 7301018916 + 13721311044 = 85446^2 + 117138^2 .

It is a super-2 number, since 2×21022329960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799584 + ... + 825456.

Almost surely, 2^21022329960 is an apocalyptic number.

21022329960 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 21022329960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661099240).

21022329960 is an abundant number, since it is smaller than the sum of its proper divisors (50299868520).

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

21022329960 is a wasteful number, since it uses less digits than its factorization.

21022329960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25988 (or 25981 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21022329960 in words is "twenty-one billion, twenty-two million, three hundred twenty-nine thousand, nine hundred sixty".