86116944000 has 256 divisors, whose sum is σ = 290872632960. Its totient is φ = 22530560000.

The previous prime is 86116943999. The next prime is 86116944007. The reversal of 86116944000 is 44961168.

It is a super-2 number, since 2×86116944000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86116944000.

It is not an unprimeable number, because it can be changed into a prime (86116944007) 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, 2527075 + ... + 2560925.

Almost surely, 2^86116944000 is an apocalyptic number.

86116944000 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 86116944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145436316480).

86116944000 is an abundant number, since it is smaller than the sum of its proper divisors (204755688960).

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

86116944000 is a wasteful number, since it uses less digits than its factorization.

86116944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33936 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 86116944000 in words is "eighty-six billion, one hundred sixteen million, nine hundred forty-four thousand".