86691144960 has 1296 divisors, whose sum is σ = 376227633600. Its totient is φ = 18319343616.

The previous prime is 86691144931. The next prime is 86691145049. The reversal of 86691144960 is 6944119668.

It is a happy number.

86691144960 is a `hidden beast` number, since 8 + 66 + 91 + 1 + 4 + 496 + 0 = 666.

It is a super-2 number, since 2×86691144960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86691144897 and 86691144906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 632782012 + ... + 632782148.

It is an arithmetic number, because the mean of its divisors is an integer number (290299100).

Almost surely, 2^86691144960 is an apocalyptic number.

86691144960 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 86691144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188113816800).

86691144960 is an abundant number, since it is smaller than the sum of its proper divisors (289536488640).

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

86691144960 is a wasteful number, since it uses less digits than its factorization.

86691144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 86691144960 in words is "eighty-six billion, six hundred ninety-one million, one hundred forty-four thousand, nine hundred sixty".