86585955075 has 192 divisors, whose sum is σ = 174571683840. Its totient is φ = 41886720000.

The previous prime is 86585955037. The next prime is 86585955077. The reversal of 86585955075 is 57055958568.

86585955075 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 5 + 9 + 550 + 75 = 666.

It is not a de Polignac number, because 86585955075 - 2⁷ = 86585954947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86585955077) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142645422 + ... + 142646028.

It is an arithmetic number, because the mean of its divisors is an integer number (909227520).

Almost surely, 2^86585955075 is an apocalyptic number.

86585955075 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86585955075 is an abundant number, since it is smaller than the sum of its proper divisors (87985728765).

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

86585955075 is a wasteful number, since it uses less digits than its factorization.

86585955075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 63.

The spelling of 86585955075 in words is "eighty-six billion, five hundred eighty-five million, nine hundred fifty-five thousand, seventy-five".