25661226127617 has 12 divisors (see below), whose sum is σ = 37066693429584. Its totient is φ = 17107263510360.

The previous prime is 25661226127583. The next prime is 25661226127631. The reversal of 25661226127617 is 71672162216652.

25661226127617 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 1 + 2 + 2 + 6 + 12 + 7 + 617 = 666.

It is not a de Polignac number, because 25661226127617 - 2⁶ = 25661226127553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25661226127697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17642859 + ... + 19041872.

It is an arithmetic number, because the mean of its divisors is an integer number (3088891119132).

Almost surely, 2^{25661226127617} is an apocalyptic number.

It is an amenable number.

25661226127617 is a deficient number, since it is larger than the sum of its proper divisors (11405467301967).

25661226127617 is a wasteful number, since it uses less digits than its factorization.

25661226127617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36762460 (or 36762457 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

It can be divided in two parts, 25661 and 226127617, that added together give a triangular number (226153278 = T₂₁₂₆₇).

The spelling of 25661226127617 in words is "twenty-five trillion, six hundred sixty-one billion, two hundred twenty-six million, one hundred twenty-seven thousand, six hundred seventeen".