21972288000 has 320 divisors, whose sum is σ = 78680714112. Its totient is φ = 5407948800.

The previous prime is 21972287969. The next prime is 21972288011. The reversal of 21972288000 is 88227912.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21972288000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491599 + ... + 2500401.

Almost surely, 2^21972288000 is an apocalyptic number.

21972288000 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 21972288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39340357056).

21972288000 is an abundant number, since it is smaller than the sum of its proper divisors (56708426112).

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

21972288000 is an equidigital number, since it uses as much as digits as its factorization.

21972288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 21972288000 in words is "twenty-one billion, nine hundred seventy-two million, two hundred eighty-eight thousand".