261307316160 has 672 divisors, whose sum is σ = 1051703377920. Its totient is φ = 58873651200.

The previous prime is 261307316159. The next prime is 261307316191. The reversal of 261307316160 is 61613703162.

261307316160 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 0 + 7 + 31 + 616 + 0 = 666.

261307316160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31897665 + ... + 31905855.

Almost surely, 2^261307316160 is an apocalyptic number.

261307316160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261307316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525851688960).

261307316160 is an abundant number, since it is smaller than the sum of its proper divisors (790396061760).

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

261307316160 is a wasteful number, since it uses less digits than its factorization.

261307316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 261307316160 in words is "two hundred sixty-one billion, three hundred seven million, three hundred sixteen thousand, one hundred sixty".