255116089728 has 256 divisors, whose sum is σ = 763603008000. Its totient is φ = 83843942400.

The previous prime is 255116089681. The next prime is 255116089741. The reversal of 255116089728 is 827980611552.

255116089728 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 1 + 608 + 9 + 7 + 28 = 666.

It is a super-2 number, since 2×255116089728² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72536226 + ... + 72539742.

It is an arithmetic number, because the mean of its divisors is an integer number (2982824250).

Almost surely, 2^255116089728 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 255116089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381801504000).

255116089728 is an abundant number, since it is smaller than the sum of its proper divisors (508486918272).

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

255116089728 is a wasteful number, since it uses less digits than its factorization.

255116089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 255116089728 in words is "two hundred fifty-five billion, one hundred sixteen million, eighty-nine thousand, seven hundred twenty-eight".