21929784972480 has 4480 divisors, whose sum is σ = 104313300664320. Its totient is φ = 4243083264000.

The previous prime is 21929784972479. The next prime is 21929784972493. The reversal of 21929784972480 is 8427948792912.

21929784972480 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 9 + 78 + 4 + 9 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21929784972399 and 21929784972408.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 308870210845 + ... + 308870210915.

Almost surely, 2^{21929784972480} is an apocalyptic number.

21929784972480 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 21929784972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52156650332160).

21929784972480 is an abundant number, since it is smaller than the sum of its proper divisors (82383515691840).

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

21929784972480 is a wasteful number, since it uses less digits than its factorization.

21929784972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 21929784972480 in words is "twenty-one trillion, nine hundred twenty-nine billion, seven hundred eighty-four million, nine hundred seventy-two thousand, four hundred eighty".