255547724256 has 480 divisors, whose sum is σ = 890932331520. Its totient is φ = 70991769600.

The previous prime is 255547724189. The next prime is 255547724269. The reversal of 255547724256 is 652427745552.

255547724256 is a `hidden beast` number, since 2 + 5 + 5 + 547 + 7 + 2 + 42 + 56 = 666.

It is a super-2 number, since 2×255547724256² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16785960 + ... + 16801176.

It is an arithmetic number, because the mean of its divisors is an integer number (1856109024).

Almost surely, 2^255547724256 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 255547724256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445466165760).

255547724256 is an abundant number, since it is smaller than the sum of its proper divisors (635384607264).

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

255547724256 is a wasteful number, since it uses less digits than its factorization.

255547724256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300 (or 15283 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 54.

The spelling of 255547724256 in words is "two hundred fifty-five billion, five hundred forty-seven million, seven hundred twenty-four thousand, two hundred fifty-six".