255688704000 has 912 divisors, whose sum is σ = 1004366120160. Its totient is φ = 64172851200.

The previous prime is 255688703989. The next prime is 255688704031. The reversal of 255688704000 is 407886552.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

255688704000 is a `hidden beast` number, since 2 + 5 + 568 + 87 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15040511992 + ... + 15040512008.

Almost surely, 2^255688704000 is an apocalyptic number.

255688704000 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 255688704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502183060080).

255688704000 is an abundant number, since it is smaller than the sum of its proper divisors (748677416160).

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

255688704000 is an frugal number, since it uses more digits than its factorization.

255688704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 255688704000 in words is "two hundred fifty-five billion, six hundred eighty-eight million, seven hundred four thousand".