86670115560 has 512 divisors, whose sum is σ = 335301120000. Its totient is φ = 19505193984.

The previous prime is 86670115523. The next prime is 86670115573. The reversal of 86670115560 is 6551107668.

86670115560 is a `hidden beast` number, since 8 + 6 + 6 + 70 + 1 + 15 + 560 = 666.

It is a super-2 number, since 2×86670115560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248338266 + ... + 248338614.

It is an arithmetic number, because the mean of its divisors is an integer number (654885000).

Almost surely, 2^86670115560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86670115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560000).

86670115560 is an abundant number, since it is smaller than the sum of its proper divisors (248631004440).

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

86670115560 is a wasteful number, since it uses less digits than its factorization.

86670115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 86670115560 in words is "eighty-six billion, six hundred seventy million, one hundred fifteen thousand, five hundred sixty".