21723552000 has 1080 divisors, whose sum is σ = 88836307560. Its totient is φ = 5264179200.

The previous prime is 21723551963. The next prime is 21723552043. The reversal of 21723552000 is 25532712.

It can be written as a sum of positive squares in 12 ways, for example, as 8814956544 + 12908595456 = 93888^2 + 113616^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×21723552000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 749087986 + ... + 749088014.

Almost surely, 2^21723552000 is an apocalyptic number.

21723552000 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 21723552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44418153780).

21723552000 is an abundant number, since it is smaller than the sum of its proper divisors (67112755560).

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

21723552000 is an equidigital number, since it uses as much as digits as its factorization.

21723552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 21723552000 in words is "twenty-one billion, seven hundred twenty-three million, five hundred fifty-two thousand".