21860842711680 has 768 divisors, whose sum is σ = 86757010329600. Its totient is φ = 4968765849600.

The previous prime is 21860842711649. The next prime is 21860842711693. The reversal of 21860842711680 is 8611724806812.

21860842711680 is a `hidden beast` number, since 2 + 1 + 8 + 608 + 4 + 27 + 1 + 1 + 6 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6446722785 + ... + 6446726175.

It is an arithmetic number, because the mean of its divisors is an integer number (112964857200).

Almost surely, 2^{21860842711680} is an apocalyptic number.

21860842711680 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 21860842711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43378505164800).

21860842711680 is an abundant number, since it is smaller than the sum of its proper divisors (64896167617920).

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

21860842711680 is a wasteful number, since it uses less digits than its factorization.

21860842711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 21860842711680 in words is "twenty-one trillion, eight hundred sixty billion, eight hundred forty-two million, seven hundred eleven thousand, six hundred eighty".