21604606612677 has 96 divisors (see below), whose sum is σ = 34515306858240. Its totient is φ = 12913438141440.

The previous prime is 21604606612661. The next prime is 21604606612759. The reversal of 21604606612677 is 77621660640612.

21604606612677 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 4 + 606 + 6 + 1 + 26 + 7 + 7 = 666.

It is not a de Polignac number, because 21604606612677 - 2⁴ = 21604606612661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21604606612607) by changing a digit.

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, 2723380203 + ... + 2723388135.

It is an arithmetic number, because the mean of its divisors is an integer number (359534446440).

Almost surely, 2^{21604606612677} is an apocalyptic number.

It is an amenable number.

21604606612677 is a deficient number, since it is larger than the sum of its proper divisors (12910700245563).

21604606612677 is a wasteful number, since it uses less digits than its factorization.

21604606612677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 21604606612677 in words is "twenty-one trillion, six hundred four billion, six hundred six million, six hundred twelve thousand, six hundred seventy-seven".