859795163136 has 1296 divisors, whose sum is σ = 3225149207280. Its totient is φ = 219794964480.

The previous prime is 859795163119. The next prime is 859795163137. The reversal of 859795163136 is 631361597958.

859795163136 is a `hidden beast` number, since 8 + 59 + 7 + 9 + 516 + 31 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (859795163137) 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 107 ways as a sum of consecutive naturals, for example, 6563321791 + ... + 6563321921.

It is an arithmetic number, because the mean of its divisors is an integer number (2488541055).

Almost surely, 2^859795163136 is an apocalyptic number.

859795163136 is a gapful number since it is divisible by the number (86) 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 859795163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612574603640).

859795163136 is an abundant number, since it is smaller than the sum of its proper divisors (2365354044144).

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

859795163136 is a wasteful number, since it uses less digits than its factorization.

859795163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 199 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 859795163136 in words is "eight hundred fifty-nine billion, seven hundred ninety-five million, one hundred sixty-three thousand, one hundred thirty-six".