86595406745760 has 576 divisors, whose sum is σ = 341267328420480. Its totient is φ = 20480800665600.

The previous prime is 86595406745747. The next prime is 86595406745789. The reversal of 86595406745760 is 6754760459568.

86595406745760 is a `hidden beast` number, since 8 + 6 + 5 + 9 + 5 + 40 + 6 + 7 + 4 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19411239 + ... + 23451801.

It is an arithmetic number, because the mean of its divisors is an integer number (592478000730).

Almost surely, 2^{86595406745760} is an apocalyptic number.

86595406745760 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 86595406745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170633664210240).

86595406745760 is an abundant number, since it is smaller than the sum of its proper divisors (254671921674720).

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

86595406745760 is a wasteful number, since it uses less digits than its factorization.

86595406745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040650 (or 4040625 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 86595406745760 in words is "eighty-six trillion, five hundred ninety-five billion, four hundred six million, seven hundred forty-five thousand, seven hundred sixty".