21972240990960 has 160 divisors (see below), whose sum is σ = 73373339930688. Its totient is φ = 5407087411200.

The previous prime is 21972240990937. The next prime is 21972240990967. The reversal of 21972240990960 is 6909904227912.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21972240990894 and 21972240990903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21972240990967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10595704 + ... + 12498536.

Almost surely, 2^{21972240990960} is an apocalyptic number.

21972240990960 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 21972240990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36686669965344).

21972240990960 is an abundant number, since it is smaller than the sum of its proper divisors (51401098939728).

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

21972240990960 is a wasteful number, since it uses less digits than its factorization.

21972240990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906563 (or 1906557 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 21972240990960 in words is "twenty-one trillion, nine hundred seventy-two billion, two hundred forty million, nine hundred ninety thousand, nine hundred sixty".