86005578760 has 32 divisors (see below), whose sum is σ = 193578128640. Its totient is φ = 34390573504.

The previous prime is 86005578721. The next prime is 86005578761. The reversal of 86005578760 is 6787550068.

It is a super-3 number, since 3×86005578760³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86005578698 and 86005578707.

It is not an unprimeable number, because it can be changed into a prime (86005578761) 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, 244312 + ... + 481351.

It is an arithmetic number, because the mean of its divisors is an integer number (6049316520).

Almost surely, 2^86005578760 is an apocalyptic number.

It is an amenable number.

86005578760 is an abundant number, since it is smaller than the sum of its proper divisors (107572549880).

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

86005578760 is a wasteful number, since it uses less digits than its factorization.

86005578760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728637 (or 728633 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 86005578760 in words is "eighty-six billion, five million, five hundred seventy-eight thousand, seven hundred sixty".