255385765395360 has 768 divisors, whose sum is σ = 996399010252800. Its totient is φ = 60713714073600.

The previous prime is 255385765395317. The next prime is 255385765395373. The reversal of 255385765395360 is 63593567583552.

255385765395360 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 8 + 57 + 6 + 5 + 39 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13075908795 + ... + 13075928325.

It is an arithmetic number, because the mean of its divisors is an integer number (1297394544600).

Almost surely, 2^{255385765395360} is an apocalyptic number.

255385765395360 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 255385765395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498199505126400).

255385765395360 is an abundant number, since it is smaller than the sum of its proper divisors (741013244857440).

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

255385765395360 is a wasteful number, since it uses less digits than its factorization.

255385765395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28962 (or 28948 counting only the distinct ones).

The product of its (nonzero) digits is 3061800000, while the sum is 72.

The spelling of 255385765395360 in words is "two hundred fifty-five trillion, three hundred eighty-five billion, seven hundred sixty-five million, three hundred ninety-five thousand, three hundred sixty".