860874448896 has 1680 divisors, whose sum is σ = 3416924982240. Its totient is φ = 213292154880.

The previous prime is 860874448859. The next prime is 860874448921. The reversal of 860874448896 is 698844478068.

860874448896 is a `hidden beast` number, since 8 + 60 + 87 + 4 + 4 + 488 + 9 + 6 = 666.

It is a super-2 number, since 2×860874448896² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10371981271 + ... + 10371981353.

It is an arithmetic number, because the mean of its divisors is an integer number (2033883918).

Almost surely, 2^860874448896 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 860874448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708462491120).

860874448896 is an abundant number, since it is smaller than the sum of its proper divisors (2556050533344).

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

860874448896 is a wasteful number, since it uses less digits than its factorization.

860874448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 860874448896 in words is "eight hundred sixty billion, eight hundred seventy-four million, four hundred forty-eight thousand, eight hundred ninety-six".