21100860039168 has 672 divisors, whose sum is σ = 77799913341696. Its totient is φ = 5565014212608.

The previous prime is 21100860039157. The next prime is 21100860039197. The reversal of 21100860039168 is 86193006800112.

21100860039168 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 8 + 600 + 39 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181091455 + ... + 181207937.

It is an arithmetic number, because the mean of its divisors is an integer number (115773680568).

Almost surely, 2^{21100860039168} is an apocalyptic number.

21100860039168 is a gapful number since it is divisible by the number (28) 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 21100860039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899956670848).

21100860039168 is an abundant number, since it is smaller than the sum of its proper divisors (56699053302528).

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

21100860039168 is an equidigital number, since it uses as much as digits as its factorization.

21100860039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116544 (or 116508 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 21100860039168 in words is "twenty-one trillion, one hundred billion, eight hundred sixty million, thirty-nine thousand, one hundred sixty-eight".