86831087616 has 600 divisors, whose sum is σ = 319722036480. Its totient is φ = 22868656128.

The previous prime is 86831087593. The next prime is 86831087621. The reversal of 86831087616 is 61678013868.

86831087616 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 10 + 8 + 7 + 616 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120766105 + ... + 120766823.

Almost surely, 2^86831087616 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 86831087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159861018240).

86831087616 is an abundant number, since it is smaller than the sum of its proper divisors (232890948864).

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

86831087616 is an equidigital number, since it uses as much as digits as its factorization.

86831087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86831087616 in words is "eighty-six billion, eight hundred thirty-one million, eighty-seven thousand, six hundred sixteen".