860872864896 has 576 divisors, whose sum is σ = 2976358694400. Its totient is φ = 237584793600.

The previous prime is 860872864871. The next prime is 860872864909. The reversal of 860872864896 is 698468278068.

860872864896 is a `hidden beast` number, since 8 + 60 + 8 + 7 + 2 + 86 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×860872864896² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73453725 + ... + 73465443.

It is an arithmetic number, because the mean of its divisors is an integer number (5167289400).

Almost surely, 2^860872864896 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 860872864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488179347200).

860872864896 is an abundant number, since it is smaller than the sum of its proper divisors (2115485829504).

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

860872864896 is a wasteful number, since it uses less digits than its factorization.

860872864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11783 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 860872864896 in words is "eight hundred sixty billion, eight hundred seventy-two million, eight hundred sixty-four thousand, eight hundred ninety-six".