86225355352268 has 48 divisors (see below), whose sum is σ = 174312309225600. Its totient is φ = 36884211098880.

The previous prime is 86225355352261. The next prime is 86225355352309.

86225355352268 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86225355352268.

It is not an unprimeable number, because it can be changed into a prime (86225355352261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899263 + ... + 13268681.

It is an arithmetic number, because the mean of its divisors is an integer number (3631506442200).

Almost surely, 2^{86225355352268} is an apocalyptic number.

It is an amenable number.

86225355352268 is an abundant number, since it is smaller than the sum of its proper divisors (88086953873332).

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

86225355352268 is a wasteful number, since it uses less digits than its factorization.

86225355352268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11379590 (or 11379588 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 62.

The spelling of 86225355352268 in words is "eighty-six trillion, two hundred twenty-five billion, three hundred fifty-five million, three hundred fifty-two thousand, two hundred sixty-eight".