86177485968 has 160 divisors (see below), whose sum is σ = 269231910912. Its totient is φ = 23219750400.

The previous prime is 86177485921. The next prime is 86177485969. The reversal of 86177485968 is 86958477168.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (86177485969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470158 + ... + 627218.

Almost surely, 2^86177485968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86177485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134615955456).

86177485968 is an abundant number, since it is smaller than the sum of its proper divisors (183054424944).

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

86177485968 is a wasteful number, since it uses less digits than its factorization.

86177485968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157173 (or 157167 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 69.

The spelling of 86177485968 in words is "eighty-six billion, one hundred seventy-seven million, four hundred eighty-five thousand, nine hundred sixty-eight".