86569011040 has 48 divisors (see below), whose sum is σ = 205661922480. Its totient is φ = 34434142720.

The previous prime is 86569011031. The next prime is 86569011043. The reversal of 86569011040 is 4011096568.

It is a super-3 number, since 3×86569011040³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86569010984 and 86569011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86569011043) 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 7 ways as a sum of consecutive naturals, for example, 1482691 + ... + 1539970.

It is an arithmetic number, because the mean of its divisors is an integer number (4284623385).

Almost surely, 2^86569011040 is an apocalyptic number.

86569011040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86569011040 is an abundant number, since it is smaller than the sum of its proper divisors (119092911440).

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

86569011040 is a wasteful number, since it uses less digits than its factorization.

86569011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022855 (or 3022847 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 86569011040 in words is "eighty-six billion, five hundred sixty-nine million, eleven thousand, forty".