261140901696 has 448 divisors, whose sum is σ = 834488755200. Its totient is φ = 79798929408.

The previous prime is 261140901683. The next prime is 261140901739. The reversal of 261140901696 is 696109041162.

It is a happy number.

261140901696 is a `hidden beast` number, since 261 + 140 + 90 + 169 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275755495 + ... + 275756441.

Almost surely, 2^261140901696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261140901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417244377600).

261140901696 is an abundant number, since it is smaller than the sum of its proper divisors (573347853504).

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

261140901696 is a wasteful number, since it uses less digits than its factorization.

261140901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 261140901696 in words is "two hundred sixty-one billion, one hundred forty million, nine hundred one thousand, six hundred ninety-six".