86290852104 has 96 divisors (see below), whose sum is σ = 242718255000. Its totient is φ = 27671694336.

The previous prime is 86290852103. The next prime is 86290852111. The reversal of 86290852104 is 40125809268.

86290852104 is a `hidden beast` number, since 8 + 629 + 0 + 8 + 5 + 2 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50153602500 + 36137249604 = 223950^2 + 190098^2 .

It is a super-2 number, since 2×86290852104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86290852104.

It is not an unprimeable number, because it can be changed into a prime (86290852103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55122 + ... + 419070.

Almost surely, 2^86290852104 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 86290852104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121359127500).

86290852104 is an abundant number, since it is smaller than the sum of its proper divisors (156427402896).

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

86290852104 is a wasteful number, since it uses less digits than its factorization.

86290852104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364087 (or 364080 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86290852104 in words is "eighty-six billion, two hundred ninety million, eight hundred fifty-two thousand, one hundred four".