86573837568 has 72 divisors (see below), whose sum is σ = 235315156608. Its totient is φ = 28243935232.

The previous prime is 86573837563. The next prime is 86573837587.

86573837568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86573837499 and 86573837508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86573837563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163121 + ... + 1235312.

It is an arithmetic number, because the mean of its divisors is an integer number (3268266064).

Almost surely, 2^86573837568 is an apocalyptic number.

It is an amenable number.

86573837568 is an abundant number, since it is smaller than the sum of its proper divisors (148741319040).

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

86573837568 is a wasteful number, since it uses less digits than its factorization.

86573837568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398499 (or 2398485 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 66.

The spelling of 86573837568 in words is "eighty-six billion, five hundred seventy-three million, eight hundred thirty-seven thousand, five hundred sixty-eight".