21672880768800 has 324 divisors, whose sum is σ = 80658021872610. Its totient is φ = 5475253432320.

The previous prime is 21672880768741. The next prime is 21672880768811. The reversal of 21672880768800 is 886708827612.

21672880768800 is a `hidden beast` number, since 216 + 7 + 288 + 0 + 7 + 68 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12231051333264 + 9441829435536 = 3497292^2 + 3072756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1569945 + ... + 6768344.

Almost surely, 2^{21672880768800} is an apocalyptic number.

21672880768800 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 21672880768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40329010936305).

21672880768800 is an abundant number, since it is smaller than the sum of its proper divisors (58985141103810).

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

21672880768800 is a wasteful number, since it uses less digits than its factorization.

21672880768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338353 (or 8338318 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 21672880768800 in words is "twenty-one trillion, six hundred seventy-two billion, eight hundred eighty million, seven hundred sixty-eight thousand, eight hundred".