86041912320 has 1584 divisors, whose sum is σ = 395276813568. Its totient is φ = 16845373440.

The previous prime is 86041912301. The next prime is 86041912331. The reversal of 86041912320 is 2321914068.

86041912320 is a `hidden beast` number, since 8 + 6 + 0 + 419 + 1 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1211857885 + ... + 1211857955.

Almost surely, 2^86041912320 is an apocalyptic number.

86041912320 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 86041912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197638406784).

86041912320 is an abundant number, since it is smaller than the sum of its proper divisors (309234901248).

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

86041912320 is a wasteful number, since it uses less digits than its factorization.

86041912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 86041912320 in words is "eighty-six billion, forty-one million, nine hundred twelve thousand, three hundred twenty".