856049040000 has 1280 divisors, whose sum is σ = 3936959769600. Its totient is φ = 177845760000.

The previous prime is 856049039983. The next prime is 856049040047. The reversal of 856049040000 is 40940658.

856049040000 is a `hidden beast` number, since 8 + 5 + 604 + 9 + 0 + 40 + 0 + 0 + 0 = 666.

856049040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 166317427 + ... + 166322573.

It is an arithmetic number, because the mean of its divisors is an integer number (3075749820).

Almost surely, 2^856049040000 is an apocalyptic number.

856049040000 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 856049040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968479884800).

856049040000 is an abundant number, since it is smaller than the sum of its proper divisors (3080910729600).

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

856049040000 is a wasteful number, since it uses less digits than its factorization.

856049040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 856049040000 its reverse (40940658), we get a palindrome (856089980658).

The spelling of 856049040000 in words is "eight hundred fifty-six billion, forty-nine million, forty thousand".