255306736240920 has 1280 divisors, whose sum is σ = 1117583924244480. Its totient is φ = 50799077683200.

The previous prime is 255306736240903. The next prime is 255306736240931. The reversal of 255306736240920 is 29042637603552.

255306736240920 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 6 + 7 + 3 + 624 + 0 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 481208590 + ... + 481738850.

It is an arithmetic number, because the mean of its divisors is an integer number (873112440816).

Almost surely, 2^{255306736240920} is an apocalyptic number.

255306736240920 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 255306736240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558791962122240).

255306736240920 is an abundant number, since it is smaller than the sum of its proper divisors (862277188003560).

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

255306736240920 is a wasteful number, since it uses less digits than its factorization.

255306736240920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530398 (or 530385 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 255306736240920 in words is "two hundred fifty-five trillion, three hundred six billion, seven hundred thirty-six million, two hundred forty thousand, nine hundred twenty".