260986891713768 has 160 divisors (see below), whose sum is σ = 803739161871360. Its totient is φ = 78464204824320.

The previous prime is 260986891713749. The next prime is 260986891713791. The reversal of 260986891713768 is 867317198689062.

260986891713768 is a `hidden beast` number, since 2 + 6 + 0 + 98 + 6 + 8 + 91 + 71 + 376 + 8 = 666.

It is a super-3 number, since 3×260986891713768³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143245621 + ... + 145056132.

It is an arithmetic number, because the mean of its divisors is an integer number (5023369761696).

Almost surely, 2^{260986891713768} is an apocalyptic number.

It is an amenable number.

260986891713768 is an abundant number, since it is smaller than the sum of its proper divisors (542752270157592).

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

260986891713768 is a wasteful number, since it uses less digits than its factorization.

260986891713768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288301909 (or 288301896 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 260986891713768 in words is "two hundred sixty trillion, nine hundred eighty-six billion, eight hundred ninety-one million, seven hundred thirteen thousand, seven hundred sixty-eight".