856272652800 has 240 divisors, whose sum is σ = 2926186417440. Its totient is φ = 220465315840.

The previous prime is 856272652793. The next prime is 856272652811. The reversal of 856272652800 is 8256272658.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729139 + ... + 1498061.

It is an arithmetic number, because the mean of its divisors is an integer number (12192443406).

Almost surely, 2^856272652800 is an apocalyptic number.

856272652800 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 856272652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463093208720).

856272652800 is an abundant number, since it is smaller than the sum of its proper divisors (2069913764640).

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

856272652800 is a wasteful number, since it uses less digits than its factorization.

856272652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768983 (or 768962 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 856272652800 in words is "eight hundred fifty-six billion, two hundred seventy-two million, six hundred fifty-two thousand, eight hundred".