85865761264680 has 96 divisors (see below), whose sum is σ = 279067878704160. Its totient is φ = 22897195447680.

The previous prime is 85865761264637. The next prime is 85865761264687. The reversal of 85865761264680 is 8646216756858.

85865761264680 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 576 + 1 + 2 + 6 + 46 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85865761264599 and 85865761264608.

It is not an unprimeable number, because it can be changed into a prime (85865761264687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22915539 + ... + 26397981.

It is an arithmetic number, because the mean of its divisors is an integer number (2906957069835).

Almost surely, 2^{85865761264680} is an apocalyptic number.

It is an amenable number.

85865761264680 is an abundant number, since it is smaller than the sum of its proper divisors (193202117439480).

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

85865761264680 is a wasteful number, since it uses less digits than its factorization.

85865761264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550951 (or 3550944 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 85865761264680 in words is "eighty-five trillion, eight hundred sixty-five billion, seven hundred sixty-one million, two hundred sixty-four thousand, six hundred eighty".