255772138752 has 288 divisors, whose sum is σ = 819413436800. Its totient is φ = 78694447104.

The previous prime is 255772138751. The next prime is 255772138757. The reversal of 255772138752 is 257831277552.

255772138752 is a `hidden beast` number, since 2 + 5 + 577 + 2 + 13 + 8 + 7 + 52 = 666.

255772138752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (255772138751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15177243 + ... + 15194085.

Almost surely, 2^255772138752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255772138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409706718400).

255772138752 is an abundant number, since it is smaller than the sum of its proper divisors (563641298048).

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

255772138752 is an equidigital number, since it uses as much as digits as its factorization.

255772138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16907 (or 16861 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 255772138752 in words is "two hundred fifty-five billion, seven hundred seventy-two million, one hundred thirty-eight thousand, seven hundred fifty-two".