856104928000 has 864 divisors, whose sum is σ = 2606514228864. Its totient is φ = 274268160000.

The previous prime is 856104927989. The next prime is 856104928009. The reversal of 856104928000 is 829401658.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (856104928009) 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, 8825823952 + ... + 8825824048.

It is an arithmetic number, because the mean of its divisors is an integer number (3016798876).

Almost surely, 2^856104928000 is an apocalyptic number.

856104928000 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 856104928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303257114432).

856104928000 is an abundant number, since it is smaller than the sum of its proper divisors (1750409300864).

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

856104928000 is an equidigital number, since it uses as much as digits as its factorization.

856104928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 856104928000 in words is "eight hundred fifty-six billion, one hundred four million, nine hundred twenty-eight thousand".