856531454310300 has 144 divisors (see below), whose sum is σ = 2483058734069760. Its totient is φ = 227963467560960.

The previous prime is 856531454310289. The next prime is 856531454310331. The reversal of 856531454310300 is 3013454135658.

It is a happy number.

It is a super-3 number, since 3×856531454310300³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 856531454310300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5266894789 + ... + 5267057411.

It is an arithmetic number, because the mean of its divisors is an integer number (17243463431040).

Almost surely, 2^{856531454310300} 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 856531454310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241529367034880).

856531454310300 is an abundant number, since it is smaller than the sum of its proper divisors (1626527279759460).

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

856531454310300 is a wasteful number, since it uses less digits than its factorization.

856531454310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196732 (or 196725 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 856531454310300 in words is "eight hundred fifty-six trillion, five hundred thirty-one billion, four hundred fifty-four million, three hundred ten thousand, three hundred".