86767575184160 has 144 divisors (see below), whose sum is σ = 222178571625024. Its totient is φ = 32007109395456.

The previous prime is 86767575184153. The next prime is 86767575184183. The reversal of 86767575184160 is 6148157576768.

It is a super-2 number, since 2×86767575184160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27234179 + ... + 30252861.

It is an arithmetic number, because the mean of its divisors is an integer number (1542906747396).

Almost surely, 2^{86767575184160} is an apocalyptic number.

86767575184160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86767575184160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111089285812512).

86767575184160 is an abundant number, since it is smaller than the sum of its proper divisors (135410996440864).

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

86767575184160 is a wasteful number, since it uses less digits than its factorization.

86767575184160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019787 (or 3019766 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 71.

The spelling of 86767575184160 in words is "eighty-six trillion, seven hundred sixty-seven billion, five hundred seventy-five million, one hundred eighty-four thousand, one hundred sixty".