21972162239280 has 960 divisors, whose sum is σ = 85506877209600. Its totient is φ = 5178965299200.

The previous prime is 21972162239267. The next prime is 21972162239389. The reversal of 21972162239280 is 8293226127912.

21972162239280 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 2 + 1 + 622 + 3 + 9 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3289734981 + ... + 3289741659.

It is an arithmetic number, because the mean of its divisors is an integer number (89069663760).

Almost surely, 2^{21972162239280} is an apocalyptic number.

21972162239280 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 21972162239280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42753438604800).

21972162239280 is an abundant number, since it is smaller than the sum of its proper divisors (63534714970320).

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

21972162239280 is a wasteful number, since it uses less digits than its factorization.

21972162239280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 21972162239280 in words is "twenty-one trillion, nine hundred seventy-two billion, one hundred sixty-two million, two hundred thirty-nine thousand, two hundred eighty".