21972288624 has 240 divisors, whose sum is σ = 68926338432. Its totient is φ = 5946048000.

The previous prime is 21972288623. The next prime is 21972288649. The reversal of 21972288624 is 42688227912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21972288623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6594639 + ... + 6597969.

Almost surely, 2^21972288624 is an apocalyptic number.

21972288624 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 21972288624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34463169216).

21972288624 is an abundant number, since it is smaller than the sum of its proper divisors (46954049808).

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

21972288624 is a wasteful number, since it uses less digits than its factorization.

21972288624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3391 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 21972288624 in words is "twenty-one billion, nine hundred seventy-two million, two hundred eighty-eight thousand, six hundred twenty-four".