21876213166080 has 3744 divisors, whose sum is σ = 97114886461440. Its totient is φ = 4173688995840.

The previous prime is 21876213166063. The next prime is 21876213166121. The reversal of 21876213166080 is 8066131267812.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 299674152924 + ... + 299674152996.

Almost surely, 2^{21876213166080} is an apocalyptic number.

21876213166080 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 21876213166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557443230720).

21876213166080 is an abundant number, since it is smaller than the sum of its proper divisors (75238673295360).

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

21876213166080 is a wasteful number, since it uses less digits than its factorization.

21876213166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 21876213166080 in words is "twenty-one trillion, eight hundred seventy-six billion, two hundred thirteen million, one hundred sixty-six thousand, eighty".