86128711010496 has 1792 divisors, whose sum is σ = 337421500416000. Its totient is φ = 20869415424000.

The previous prime is 86128711010453. The next prime is 86128711010497. The reversal of 86128711010496 is 69401011782168.

86128711010496 is a `hidden beast` number, since 8 + 6 + 1 + 28 + 7 + 110 + 10 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86128711010497) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46033516441 + ... + 46033518311.

It is an arithmetic number, because the mean of its divisors is an integer number (188293248000).

Almost surely, 2^{86128711010496} 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 86128711010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168710750208000).

86128711010496 is an abundant number, since it is smaller than the sum of its proper divisors (251292789405504).

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

86128711010496 is a wasteful number, since it uses less digits than its factorization.

86128711010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 86128711010496 in words is "eighty-six trillion, one hundred twenty-eight billion, seven hundred eleven million, ten thousand, four hundred ninety-six".