859179453440 has 1056 divisors, whose sum is σ = 2754953607168. Its totient is φ = 256035225600.

The previous prime is 859179453397. The next prime is 859179453479. The reversal of 859179453440 is 44354971958.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 859179453440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10351559639 + ... + 10351559721.

Almost surely, 2^859179453440 is an apocalyptic number.

859179453440 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 859179453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377476803584).

859179453440 is an abundant number, since it is smaller than the sum of its proper divisors (1895774153728).

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

859179453440 is a wasteful number, since it uses less digits than its factorization.

859179453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 859179453440 in words is "eight hundred fifty-nine billion, one hundred seventy-nine million, four hundred fifty-three thousand, four hundred forty".