86128295040 has 384 divisors, whose sum is σ = 326686089600. Its totient is φ = 20812087296.

The previous prime is 86128295023. The next prime is 86128295053. The reversal of 86128295040 is 4059282168.

86128295040 is a `hidden beast` number, since 8 + 61 + 2 + 82 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2500012 + ... + 2534228.

It is an arithmetic number, because the mean of its divisors is an integer number (850745025).

Almost surely, 2^86128295040 is an apocalyptic number.

86128295040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86128295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163343044800).

86128295040 is an abundant number, since it is smaller than the sum of its proper divisors (240557794560).

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

86128295040 is a wasteful number, since it uses less digits than its factorization.

86128295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34284 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86128295040 in words is "eighty-six billion, one hundred twenty-eight million, two hundred ninety-five thousand, forty".