86829875564 has 24 divisors (see below), whose sum is σ = 154480577328. Its totient is φ = 42694755840.

The previous prime is 86829875507. The next prime is 86829875611. The reversal of 86829875564 is 46557892868.

It is a happy number.

It is a super-3 number, since 3×86829875564³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86829875494 and 86829875503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114257 + ... + 432104.

It is an arithmetic number, because the mean of its divisors is an integer number (6436690722).

Almost surely, 2^86829875564 is an apocalyptic number.

It is an amenable number.

86829875564 is a deficient number, since it is larger than the sum of its proper divisors (67650701764).

86829875564 is a wasteful number, since it uses less digits than its factorization.

86829875564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547025 (or 547023 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 68.

The spelling of 86829875564 in words is "eighty-six billion, eight hundred twenty-nine million, eight hundred seventy-five thousand, five hundred sixty-four".