256299603840 has 1536 divisors, whose sum is σ = 1108725148800. Its totient is φ = 56435097600.

The previous prime is 256299603839. The next prime is 256299603853. The reversal of 256299603840 is 48306992652.

It is a happy number.

256299603840 is a `hidden beast` number, since 2 + 5 + 6 + 29 + 9 + 603 + 8 + 4 + 0 = 666.

256299603840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2537619790 + ... + 2537619890.

Almost surely, 2^256299603840 is an apocalyptic number.

256299603840 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 256299603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554362574400).

256299603840 is an abundant number, since it is smaller than the sum of its proper divisors (852425544960).

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

256299603840 is an equidigital number, since it uses as much as digits as its factorization.

256299603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 256299603840 in words is "two hundred fifty-six billion, two hundred ninety-nine million, six hundred three thousand, eight hundred forty".