86181840576 has 336 divisors, whose sum is σ = 271397561344. Its totient is φ = 25986521088.

The previous prime is 86181840559. The next prime is 86181840583. The reversal of 86181840576 is 67504818168.

It is a happy number.

86181840576 is a `hidden beast` number, since 8 + 6 + 18 + 18 + 40 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141979665 + ... + 141980271.

Almost surely, 2^86181840576 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 86181840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135698780672).

86181840576 is an abundant number, since it is smaller than the sum of its proper divisors (185215720768).

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

86181840576 is a wasteful number, since it uses less digits than its factorization.

86181840576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 86181840576 in words is "eighty-six billion, one hundred eighty-one million, eight hundred forty thousand, five hundred seventy-six".