21766073441168 has 120 divisors (see below), whose sum is σ = 52385625319680. Its totient is φ = 8716113665280.

The previous prime is 21766073441149. The next prime is 21766073441227. The reversal of 21766073441168 is 86114437066712.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14736146 + ... + 16145777.

It is an arithmetic number, because the mean of its divisors is an integer number (436546877664).

Almost surely, 2^{21766073441168} is an apocalyptic number.

21766073441168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21766073441168 is an abundant number, since it is smaller than the sum of its proper divisors (30619551878512).

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

21766073441168 is a wasteful number, since it uses less digits than its factorization.

21766073441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30882005 (or 30881992 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 21766073441168 in words is "twenty-one trillion, seven hundred sixty-six billion, seventy-three million, four hundred forty-one thousand, one hundred sixty-eight".