21239292960 has 384 divisors, whose sum is σ = 78064197120. Its totient is φ = 5383065600.

The previous prime is 21239292923. The next prime is 21239292961. The reversal of 21239292960 is 6929293212.

It is a super-2 number, since 2×21239292960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21239292961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17983570 + ... + 17984750.

It is an arithmetic number, because the mean of its divisors is an integer number (203292180).

Almost surely, 2^21239292960 is an apocalyptic number.

21239292960 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 21239292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39032098560).

21239292960 is an abundant number, since it is smaller than the sum of its proper divisors (56824904160).

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

21239292960 is a wasteful number, since it uses less digits than its factorization.

21239292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 21239292960 in words is "twenty-one billion, two hundred thirty-nine million, two hundred ninety-two thousand, nine hundred sixty".