85865507757360 has 120 divisors (see below), whose sum is σ = 298308617539920. Its totient is φ = 22107900842496.

The previous prime is 85865507757319. The next prime is 85865507757401. The reversal of 85865507757360 is 6375770556858.

85865507757360 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 5 + 507 + 7 + 57 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (85865507757319) and next prime (85865507757401).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056145494 + ... + 2056187253.

It is an arithmetic number, because the mean of its divisors is an integer number (2485905146166).

Almost surely, 2^{85865507757360} is an apocalyptic number.

85865507757360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85865507757360 is an abundant number, since it is smaller than the sum of its proper divisors (212443109782560).

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

85865507757360 is a wasteful number, since it uses less digits than its factorization.

85865507757360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112332795 (or 4112332786 counting only the distinct ones).

The product of its (nonzero) digits is 1481760000, while the sum is 72.

The spelling of 85865507757360 in words is "eighty-five trillion, eight hundred sixty-five billion, five hundred seven million, seven hundred fifty-seven thousand, three hundred sixty".