856111872000 has 1536 divisors, whose sum is σ = 3673715834880. Its totient is φ = 171786240000.

The previous prime is 856111871959. The next prime is 856111872029. The reversal of 856111872000 is 278111658.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 856111872000.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1833215767 + ... + 1833216233.

It is an arithmetic number, because the mean of its divisors is an integer number (2391742080).

Almost surely, 2^856111872000 is an apocalyptic number.

856111872000 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 856111872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836857917440).

856111872000 is an abundant number, since it is smaller than the sum of its proper divisors (2817603962880).

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

856111872000 is a wasteful number, since it uses less digits than its factorization.

856111872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

Adding to 856111872000 its reverse (278111658), we get a palindrome (856389983658).

The spelling of 856111872000 in words is "eight hundred fifty-six billion, one hundred eleven million, eight hundred seventy-two thousand".