86256680580765 has 48 divisors (see below), whose sum is σ = 152695749024000. Its totient is φ = 45023857946496.

The previous prime is 86256680580761. The next prime is 86256680580779. The reversal of 86256680580765 is 56708508665268.

It is a happy number.

86256680580765 is a `hidden beast` number, since 8 + 6 + 2 + 566 + 8 + 0 + 58 + 0 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 86256680580765 - 2² = 86256680580761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86256680580693 and 86256680580702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86256680580761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112026466 + ... + 112793804.

It is an arithmetic number, because the mean of its divisors is an integer number (3181161438000).

Almost surely, 2^{86256680580765} is an apocalyptic number.

It is an amenable number.

86256680580765 is a deficient number, since it is larger than the sum of its proper divisors (66439068443235).

86256680580765 is a wasteful number, since it uses less digits than its factorization.

86256680580765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820546 (or 820543 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 86256680580765 in words is "eighty-six trillion, two hundred fifty-six billion, six hundred eighty million, five hundred eighty thousand, seven hundred sixty-five".