86919424128 has 48 divisors (see below), whose sum is σ = 250119700350. Its totient is φ = 28973140992.

The previous prime is 86919424093. The next prime is 86919424133. The reversal of 86919424128 is 82142491968.

It is a happy number.

86919424128 is a `hidden beast` number, since 8 + 6 + 91 + 9 + 424 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81882967104 + 5036457024 = 286152^2 + 70968^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37724293 + ... + 37726596.

Almost surely, 2^86919424128 is an apocalyptic number.

It is an amenable number.

86919424128 is an abundant number, since it is smaller than the sum of its proper divisors (163200276222).

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

86919424128 is a wasteful number, since it uses less digits than its factorization.

86919424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75450909 (or 75450894 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 86919424128 in words is "eighty-six billion, nine hundred nineteen million, four hundred twenty-four thousand, one hundred twenty-eight".