21117106192896 has 960 divisors, whose sum is σ = 72984040436736. Its totient is φ = 5752199577600.

The previous prime is 21117106192867. The next prime is 21117106192907. The reversal of 21117106192896 is 69829160171112.

21117106192896 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 7 + 10 + 619 + 2 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31377572016 + ... + 31377572688.

Almost surely, 2^{21117106192896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21117106192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492020218368).

21117106192896 is an abundant number, since it is smaller than the sum of its proper divisors (51866934243840).

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

21117106192896 is a wasteful number, since it uses less digits than its factorization.

21117106192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 21117106192896 in words is "twenty-one trillion, one hundred seventeen billion, one hundred six million, one hundred ninety-two thousand, eight hundred ninety-six".