21931579375680 has 224 divisors, whose sum is σ = 74993096997504. Its totient is φ = 5398257106944.

The previous prime is 21931579375613. The next prime is 21931579375777. The reversal of 21931579375680 is 8657397513912.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329650899 + ... + 329717421.

It is an arithmetic number, because the mean of its divisors is an integer number (334790611596).

Almost surely, 2^{21931579375680} is an apocalyptic number.

21931579375680 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 21931579375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37496548498752).

21931579375680 is an abundant number, since it is smaller than the sum of its proper divisors (53061517621824).

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

21931579375680 is a wasteful number, since it uses less digits than its factorization.

21931579375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92973 (or 92963 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 21931579375680 in words is "twenty-one trillion, nine hundred thirty-one billion, five hundred seventy-nine million, three hundred seventy-five thousand, six hundred eighty".