256783865800 has 384 divisors, whose sum is σ = 762710826240. Its totient is φ = 78078873600.

The previous prime is 256783865773. The next prime is 256783865801. The reversal of 256783865800 is 8568387652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (256783865801) 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, 160790602 + ... + 160792198.

It is an arithmetic number, because the mean of its divisors is an integer number (1986226110).

Almost surely, 2^256783865800 is an apocalyptic number.

256783865800 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 256783865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381355413120).

256783865800 is an abundant number, since it is smaller than the sum of its proper divisors (505926960440).

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

256783865800 is a wasteful number, since it uses less digits than its factorization.

256783865800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 256783865800 in words is "two hundred fifty-six billion, seven hundred eighty-three million, eight hundred sixty-five thousand, eight hundred".