21678479971120 has 320 divisors, whose sum is σ = 62067780550656. Its totient is φ = 6877737630720.

The previous prime is 21678479971061. The next prime is 21678479971133. The reversal of 21678479971120 is 2117997487612.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416238507 + ... + 1416253813.

Almost surely, 2^{21678479971120} is an apocalyptic number.

21678479971120 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 21678479971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31033890275328).

21678479971120 is an abundant number, since it is smaller than the sum of its proper divisors (40389300579536).

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

21678479971120 is a wasteful number, since it uses less digits than its factorization.

21678479971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18928 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 64.

The spelling of 21678479971120 in words is "twenty-one trillion, six hundred seventy-eight billion, four hundred seventy-nine million, nine hundred seventy-one thousand, one hundred twenty".