859135470891264 has 864 divisors, whose sum is σ = 3055250158571520. Its totient is φ = 235583131262976.

The previous prime is 859135470891223. The next prime is 859135470891323. The reversal of 859135470891264 is 462198074531958.

859135470891264 is a `hidden beast` number, since 8 + 5 + 9 + 1 + 3 + 5 + 470 + 8 + 91 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×859135470891264² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 859135470891192 and 859135470891201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2108709717 + ... + 2109117099.

It is a 1-persistent number, because it is pandigital, but 2⋅859135470891264 = 1718270941782528 is not.

Almost surely, 2^{859135470891264} is an apocalyptic number.

859135470891264 is a gapful number since it is divisible by the number (84) 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 859135470891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527625079285760).

859135470891264 is an abundant number, since it is smaller than the sum of its proper divisors (2196114687680256).

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

859135470891264 is a wasteful number, since it uses less digits than its factorization.

859135470891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407617 (or 407591 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 859135470891264 in words is "eight hundred fifty-nine trillion, one hundred thirty-five billion, four hundred seventy million, eight hundred ninety-one thousand, two hundred sixty-four".