859974785280 has 864 divisors, whose sum is σ = 3263325601536. Its totient is φ = 207829794816.

The previous prime is 859974785233. The next prime is 859974785281. The reversal of 859974785280 is 82587479958.

859974785280 is a `hidden beast` number, since 8 + 5 + 9 + 97 + 4 + 7 + 8 + 528 + 0 = 666.

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 = 859974785199 and 859974785208.

It is not an unprimeable number, because it can be changed into a prime (859974785281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3038780019 + ... + 3038780301.

It is an arithmetic number, because the mean of its divisors is an integer number (3776997224).

Almost surely, 2^859974785280 is an apocalyptic number.

859974785280 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 859974785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631662800768).

859974785280 is an abundant number, since it is smaller than the sum of its proper divisors (2403350816256).

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

859974785280 is a wasteful number, since it uses less digits than its factorization.

859974785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 859974785280 in words is "eight hundred fifty-nine billion, nine hundred seventy-four million, seven hundred eighty-five thousand, two hundred eighty".