21722581600 has 72 divisors (see below), whose sum is σ = 54463576608. Its totient is φ = 8454182400.

The previous prime is 21722581579. The next prime is 21722581607. The reversal of 21722581600 is 618522712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21722581607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337336 + ... + 396535.

It is an arithmetic number, because the mean of its divisors is an integer number (756438564).

Almost surely, 2^21722581600 is an apocalyptic number.

21722581600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21722581600 is an abundant number, since it is smaller than the sum of its proper divisors (32740995008).

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

21722581600 is a wasteful number, since it uses less digits than its factorization.

21722581600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733928 (or 733915 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 21722581600 in words is "twenty-one billion, seven hundred twenty-two million, five hundred eighty-one thousand, six hundred".