256831394542800 has 480 divisors, whose sum is σ = 1028061216061440. Its totient is φ = 53245987891200.

The previous prime is 256831394542673. The next prime is 256831394542837. The reversal of 256831394542800 is 8245493138652.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37397814 + ... + 43729386.

It is an arithmetic number, because the mean of its divisors is an integer number (2141794200128).

Almost surely, 2^{256831394542800} is an apocalyptic number.

256831394542800 is a gapful number since it is divisible by the number (20) 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 256831394542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514030608030720).

256831394542800 is an abundant number, since it is smaller than the sum of its proper divisors (771229821518640).

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

256831394542800 is a wasteful number, since it uses less digits than its factorization.

256831394542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332051 (or 6332040 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 256831394542800 in words is "two hundred fifty-six trillion, eight hundred thirty-one billion, three hundred ninety-four million, five hundred forty-two thousand, eight hundred".