86036791680 has 512 divisors, whose sum is σ = 360267264000. Its totient is φ = 18986655744.

The previous prime is 86036791663. The next prime is 86036791691. The reversal of 86036791680 is 8619763068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3495577 + ... + 3520103.

It is an arithmetic number, because the mean of its divisors is an integer number (703647000).

Almost surely, 2^86036791680 is an apocalyptic number.

86036791680 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 86036791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180133632000).

86036791680 is an abundant number, since it is smaller than the sum of its proper divisors (274230472320).

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

86036791680 is a wasteful number, since it uses less digits than its factorization.

86036791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24591 (or 24573 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 86036791680 in words is "eighty-six billion, thirty-six million, seven hundred ninety-one thousand, six hundred eighty".