21759080976261 has 12 divisors (see below), whose sum is σ = 31429844561388. Its totient is φ = 14506025863104.

The previous prime is 21759080976251. The next prime is 21759080976271. The reversal of 21759080976261 is 16267908095712.

21759080976261 is a `hidden beast` number, since 2 + 17 + 590 + 8 + 0 + 9 + 7 + 6 + 26 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21759080976251) and next prime (21759080976271).

It can be written as a sum of positive squares in 2 ways, for example, as 19398651272100 + 2360429704161 = 4404390^2 + 1536369^2 .

It is not a de Polignac number, because 21759080976261 - 2⁷ = 21759080976133 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21759080976251) 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 11 ways as a sum of consecutive naturals, for example, 3263031 + ... + 7359723.

It is an arithmetic number, because the mean of its divisors is an integer number (2619153713449).

Almost surely, 2^{21759080976261} is an apocalyptic number.

It is an amenable number.

21759080976261 is a deficient number, since it is larger than the sum of its proper divisors (9670763585127).

21759080976261 is a wasteful number, since it uses less digits than its factorization.

21759080976261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686852 (or 4686849 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 21759080976261 in words is "twenty-one trillion, seven hundred fifty-nine billion, eighty million, nine hundred seventy-six thousand, two hundred sixty-one".