86816187688776 has 768 divisors, whose sum is σ = 297834322464000. Its totient is φ = 20813932855296.

The previous prime is 86816187688771. The next prime is 86816187688777. The reversal of 86816187688776 is 67788678161868.

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

It is a junction number, because it is equal to n+sod(n) for n = 86816187688692 and 86816187688701.

It is not an unprimeable number, because it can be changed into a prime (86816187688771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1317379875 + ... + 1317445773.

It is an arithmetic number, because the mean of its divisors is an integer number (387805107375).

Almost surely, 2^{86816187688776} 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 86816187688776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148917161232000).

86816187688776 is an abundant number, since it is smaller than the sum of its proper divisors (211018134775224).

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

86816187688776 is a wasteful number, since it uses less digits than its factorization.

86816187688776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66126 (or 66115 counting only the distinct ones).

The product of its digits is 14566293504, while the sum is 87.

The spelling of 86816187688776 in words is "eighty-six trillion, eight hundred sixteen billion, one hundred eighty-seven million, six hundred eighty-eight thousand, seven hundred seventy-six".