21352979208960 has 432 divisors, whose sum is σ = 84443732755200. Its totient is φ = 4880074383360.

The previous prime is 21352979208949. The next prime is 21352979208961. The reversal of 21352979208960 is 6980297925312.

21352979208960 is a `hidden beast` number, since 2 + 1 + 3 + 529 + 7 + 9 + 20 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21352979208961) 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, 1129837591 + ... + 1129856489.

It is an arithmetic number, because the mean of its divisors is an integer number (195471603600).

Almost surely, 2^{21352979208960} is an apocalyptic number.

21352979208960 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 21352979208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42221866377600).

21352979208960 is an abundant number, since it is smaller than the sum of its proper divisors (63090753546240).

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

21352979208960 is a wasteful number, since it uses less digits than its factorization.

21352979208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32944 (or 32927 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 21352979208960 in words is "twenty-one trillion, three hundred fifty-two billion, nine hundred seventy-nine million, two hundred eight thousand, nine hundred sixty".