86491995372288 has 1728 divisors, whose sum is σ = 317726905466880. Its totient is φ = 22273848115200.

The previous prime is 86491995372187. The next prime is 86491995372317. The reversal of 86491995372288 is 88227359919468.

86491995372288 is a `hidden beast` number, since 8 + 6 + 49 + 19 + 9 + 537 + 2 + 28 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17002552081 + ... + 17002557167.

It is an arithmetic number, because the mean of its divisors is an integer number (183869736960).

Almost surely, 2^{86491995372288} is an apocalyptic number.

86491995372288 is a gapful number since it is divisible by the number (88) 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 86491995372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158863452733440).

86491995372288 is an abundant number, since it is smaller than the sum of its proper divisors (231234910094592).

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

86491995372288 is a wasteful number, since it uses less digits than its factorization.

86491995372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5237 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 86491995372288 in words is "eighty-six trillion, four hundred ninety-one billion, nine hundred ninety-five million, three hundred seventy-two thousand, two hundred eighty-eight".