21322689024 has 320 divisors, whose sum is σ = 70835466240. Its totient is φ = 5549506560.

The previous prime is 21322688993. The next prime is 21322689131. The reversal of 21322689024 is 42098622312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11041339 + ... + 11043269.

It is an arithmetic number, because the mean of its divisors is an integer number (221360832).

Almost surely, 2^21322689024 is an apocalyptic number.

21322689024 is a gapful number since it is divisible by the number (24) 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 21322689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35417733120).

21322689024 is an abundant number, since it is smaller than the sum of its proper divisors (49512777216).

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

21322689024 is a wasteful number, since it uses less digits than its factorization.

21322689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 21322689024 in words is "twenty-one billion, three hundred twenty-two million, six hundred eighty-nine thousand, twenty-four".