255897584640 has 528 divisors, whose sum is σ = 930252435840. Its totient is φ = 67443425280.

The previous prime is 255897584627. The next prime is 255897584659. The reversal of 255897584640 is 46485798552.

255897584640 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 9 + 7 + 584 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110729085 + ... + 110731395.

Almost surely, 2^255897584640 is an apocalyptic number.

255897584640 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 255897584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465126217920).

255897584640 is an abundant number, since it is smaller than the sum of its proper divisors (674354851200).

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

255897584640 is an equidigital number, since it uses as much as digits as its factorization.

255897584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 255897584640 in words is "two hundred fifty-five billion, eight hundred ninety-seven million, five hundred eighty-four thousand, six hundred forty".