86160019140 has 576 divisors, whose sum is σ = 312613426944. Its totient is φ = 19731382272.

The previous prime is 86160019133. The next prime is 86160019151. The reversal of 86160019140 is 4191006168.

It is a happy number.

86160019140 is a `hidden beast` number, since 8 + 6 + 1 + 600 + 1 + 9 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86160019095 and 86160019104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104183407 + ... + 104184233.

It is an arithmetic number, because the mean of its divisors is an integer number (542731644).

Almost surely, 2^86160019140 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 86160019140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156306713472).

86160019140 is an abundant number, since it is smaller than the sum of its proper divisors (226453407804).

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

86160019140 is a wasteful number, since it uses less digits than its factorization.

86160019140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 86160019140 in words is "eighty-six billion, one hundred sixty million, nineteen thousand, one hundred forty".