86048705160 has 256 divisors, whose sum is σ = 321362899200. Its totient is φ = 20296396800.

The previous prime is 86048705137. The next prime is 86048705167. The reversal of 86048705160 is 6150784068.

It is a happy number.

86048705160 is a `hidden beast` number, since 8 + 6 + 0 + 487 + 0 + 5 + 160 = 666.

It is a super-2 number, since 2×86048705160² (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 not an unprimeable number, because it can be changed into a prime (86048705167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341680 + ... + 537440.

It is an arithmetic number, because the mean of its divisors is an integer number (1255323825).

Almost surely, 2^86048705160 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 86048705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160681449600).

86048705160 is an abundant number, since it is smaller than the sum of its proper divisors (235314194040).

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

86048705160 is a wasteful number, since it uses less digits than its factorization.

86048705160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195829 (or 195819 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 86048705160 in words is "eighty-six billion, forty-eight million, seven hundred five thousand, one hundred sixty".