85968608490756 has 36 divisors (see below), whose sum is σ = 217316853467532. Its totient is φ = 28655238170304.

The previous prime is 85968608490733. The next prime is 85968608490841. The reversal of 85968608490756 is 65709480686958.

85968608490756 is a `hidden beast` number, since 8 + 5 + 9 + 68 + 60 + 8 + 490 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49925755745856 + 36042852744900 = 7065816^2 + 6003570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×85968608490756² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39109495 + ... + 41249118.

It is an arithmetic number, because the mean of its divisors is an integer number (6036579262987).

Almost surely, 2^{85968608490756} is an apocalyptic number.

It is an amenable number.

85968608490756 is an abundant number, since it is smaller than the sum of its proper divisors (131348244976776).

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

85968608490756 is a wasteful number, since it uses less digits than its factorization.

85968608490756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80388340 (or 80388335 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 85968608490756 in words is "eighty-five trillion, nine hundred sixty-eight billion, six hundred eight million, four hundred ninety thousand, seven hundred fifty-six".