255691908301440 has 1536 divisors, whose sum is σ = 962788415097600. Its totient is φ = 57177231851520.

The previous prime is 255691908301429. The next prime is 255691908301477. The reversal of 255691908301440 is 44103809196552.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252410570374 + ... + 252410571386.

Almost surely, 2^{255691908301440} is an apocalyptic number.

255691908301440 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 255691908301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481394207548800).

255691908301440 is an abundant number, since it is smaller than the sum of its proper divisors (707096506796160).

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

255691908301440 is a wasteful number, since it uses less digits than its factorization.

255691908301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 255691908301440 in words is "two hundred fifty-five trillion, six hundred ninety-one billion, nine hundred eight million, three hundred one thousand, four hundred forty".