255628910160 has 240 divisors, whose sum is σ = 925215782400. Its totient is φ = 62876998656.

The previous prime is 255628910149. The next prime is 255628910161. The reversal of 255628910160 is 61019826552.

255628910160 is a `hidden beast` number, since 2 + 5 + 5 + 628 + 9 + 1 + 0 + 16 + 0 = 666.

255628910160 is digitally balanced in base 2, 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 (240).

It is a super-2 number, since 2×255628910160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255628910161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13459551 + ... + 13478529.

It is an arithmetic number, because the mean of its divisors is an integer number (3855065760).

Almost surely, 2^255628910160 is an apocalyptic number.

255628910160 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 255628910160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462607891200).

255628910160 is an abundant number, since it is smaller than the sum of its proper divisors (669586872240).

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

255628910160 is a wasteful number, since it uses less digits than its factorization.

255628910160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20441 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 255628910160 in words is "two hundred fifty-five billion, six hundred twenty-eight million, nine hundred ten thousand, one hundred sixty".