261610670626176 has 128 divisors (see below), whose sum is σ = 714794201049600. Its totient is φ = 84734145681408.

The previous prime is 261610670626099. The next prime is 261610670626213. The reversal of 261610670626176 is 671626076016162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49632595 + ... + 54649938.

It is an arithmetic number, because the mean of its divisors is an integer number (5584329695700).

Almost surely, 2^{261610670626176} is an apocalyptic number.

It is an amenable number.

261610670626176 is an abundant number, since it is smaller than the sum of its proper divisors (453183530423424).

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

261610670626176 is a wasteful number, since it uses less digits than its factorization.

261610670626176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104282736 (or 104282724 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 261610670626176 in words is "two hundred sixty-one trillion, six hundred ten billion, six hundred seventy million, six hundred twenty-six thousand, one hundred seventy-six".