255253591436544 has 504 divisors, whose sum is σ = 782107031103552. Its totient is φ = 83060549591040.

The previous prime is 255253591436513. The next prime is 255253591436563. The reversal of 255253591436544 is 445634195352552.

255253591436544 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 5 + 3 + 59 + 1 + 4 + 36 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16747816764 + ... + 16747832004.

It is an arithmetic number, because the mean of its divisors is an integer number (1551799664888).

Almost surely, 2^{255253591436544} is an apocalyptic number.

255253591436544 is a gapful number since it is divisible by the number (24) 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 255253591436544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391053515551776).

255253591436544 is an abundant number, since it is smaller than the sum of its proper divisors (526853439667008).

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

255253591436544 is an equidigital number, since it uses as much as digits as its factorization.

255253591436544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17405 (or 17376 counting only the distinct ones).

The product of its digits is 388800000, while the sum is 63.

The spelling of 255253591436544 in words is "two hundred fifty-five trillion, two hundred fifty-three billion, five hundred ninety-one million, four hundred thirty-six thousand, five hundred forty-four".