255753318240 has 1536 divisors, whose sum is σ = 1131488870400. Its totient is φ = 52642897920.

The previous prime is 255753318217. The next prime is 255753318253. The reversal of 255753318240 is 42813357552.

255753318240 is a `hidden beast` number, since 2 + 5 + 5 + 75 + 331 + 8 + 240 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1478342794 + ... + 1478342966.

It is an arithmetic number, because the mean of its divisors is an integer number (736646400).

Almost surely, 2^255753318240 is an apocalyptic number.

255753318240 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 255753318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565744435200).

255753318240 is an abundant number, since it is smaller than the sum of its proper divisors (875735552160).

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

255753318240 is a wasteful number, since it uses less digits than its factorization.

255753318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 255753318240 in words is "two hundred fifty-five billion, seven hundred fifty-three million, three hundred eighteen thousand, two hundred forty".