261636130114560 has 704 divisors, whose sum is σ = 940722595200000. Its totient is φ = 68951394091008.

The previous prime is 261636130114537. The next prime is 261636130114589. The reversal of 261636130114560 is 65411031636162.

261636130114560 is a `hidden beast` number, since 2 + 6 + 1 + 63 + 6 + 13 + 0 + 1 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33206764701 + ... + 33206772579.

Almost surely, 2^{261636130114560} is an apocalyptic number.

261636130114560 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 261636130114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470361297600000).

261636130114560 is an abundant number, since it is smaller than the sum of its proper divisors (679086465085440).

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

261636130114560 is a wasteful number, since it uses less digits than its factorization.

261636130114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10701 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 261636130114560 in words is "two hundred sixty-one trillion, six hundred thirty-six billion, one hundred thirty million, one hundred fourteen thousand, five hundred sixty".