255352068328320 has 640 divisors, whose sum is σ = 936482684971680. Its totient is φ = 66267168768000.

The previous prime is 255352068328171. The next prime is 255352068328321. The reversal of 255352068328320 is 23823860253552.

255352068328320 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 520 + 6 + 8 + 32 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255352068328321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 852151639 + ... + 852451241.

Almost surely, 2^{255352068328320} is an apocalyptic number.

255352068328320 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 255352068328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468241342485840).

255352068328320 is an abundant number, since it is smaller than the sum of its proper divisors (681130616643360).

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

255352068328320 is a wasteful number, since it uses less digits than its factorization.

255352068328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300076 (or 300055 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 255352068328320 in words is "two hundred fifty-five trillion, three hundred fifty-two billion, sixty-eight million, three hundred twenty-eight thousand, three hundred twenty".