255261189600 has 216 divisors, whose sum is σ = 900493192872. Its totient is φ = 68041036800.

The previous prime is 255261189583. The next prime is 255261189643. The reversal of 255261189600 is 6981162552.

255261189600 is a `hidden beast` number, since 2 + 5 + 5 + 26 + 1 + 18 + 9 + 600 = 666.

255261189600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21385234 + ... + 21397166.

It is an arithmetic number, because the mean of its divisors is an integer number (4168949967).

Almost surely, 2^255261189600 is an apocalyptic number.

255261189600 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 255261189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450246596436).

255261189600 is an abundant number, since it is smaller than the sum of its proper divisors (645232003272).

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

255261189600 is a wasteful number, since it uses less digits than its factorization.

255261189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930 (or 14914 counting only the distinct ones).

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

The spelling of 255261189600 in words is "two hundred fifty-five billion, two hundred sixty-one million, one hundred eighty-nine thousand, six hundred".