21766900617672 has 64 divisors (see below), whose sum is σ = 62191760584320. Its totient is φ = 6219052866048.

The previous prime is 21766900617653. The next prime is 21766900617673. The reversal of 21766900617672 is 27671600966712.

It is not an unprimeable number, because it can be changed into a prime (21766900617673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17973748 + ... + 19146524.

It is an arithmetic number, because the mean of its divisors is an integer number (971746259130).

Almost surely, 2^{21766900617672} is an apocalyptic number.

It is an amenable number.

21766900617672 is an abundant number, since it is smaller than the sum of its proper divisors (40424859966648).

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

21766900617672 is a wasteful number, since it uses less digits than its factorization.

21766900617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283270 (or 1283266 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 21766900617672 in words is "twenty-one trillion, seven hundred sixty-six billion, nine hundred million, six hundred seventeen thousand, six hundred seventy-two".