86562800469 has 80 divisors (see below), whose sum is σ = 133850471040. Its totient is φ = 55717683840.

The previous prime is 86562800459. The next prime is 86562800479. The reversal of 86562800469 is 96400826568.

It is a happy number.

86562800469 is a `hidden beast` number, since 8 + 6 + 5 + 628 + 0 + 0 + 4 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (86562800459) and next prime (86562800479).

It is not a de Polignac number, because 86562800469 - 2¹⁵ = 86562767701 is a prime.

It is a super-2 number, since 2×86562800469² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86562800419) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 170064187 + ... + 170064695.

It is an arithmetic number, because the mean of its divisors is an integer number (1673130888).

Almost surely, 2^86562800469 is an apocalyptic number.

It is an amenable number.

86562800469 is a deficient number, since it is larger than the sum of its proper divisors (47287670571).

86562800469 is a wasteful number, since it uses less digits than its factorization.

86562800469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 86562800469 in words is "eighty-six billion, five hundred sixty-two million, eight hundred thousand, four hundred sixty-nine".