86160002760 has 192 divisors, whose sum is σ = 301916749680. Its totient is φ = 21183528960.

The previous prime is 86160002759. The next prime is 86160002767. The reversal of 86160002760 is 6720006168.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12418427844 + 73741574916 = 111438^2 + 271554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86160002767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4112632 + ... + 4133528.

Almost surely, 2^86160002760 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 86160002760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958374840).

86160002760 is an abundant number, since it is smaller than the sum of its proper divisors (215756746920).

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

86160002760 is a wasteful number, since it uses less digits than its factorization.

86160002760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21808 (or 21801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 86160002760 in words is "eighty-six billion, one hundred sixty million, two thousand, seven hundred sixty".