255668160000 has 1200 divisors, whose sum is σ = 979311320064. Its totient is φ = 59136000000.

The previous prime is 255668159983. The next prime is 255668160001. The reversal of 255668160000 is 61866552.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255668160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3600959965 + ... + 3600960035.

Almost surely, 2^255668160000 is an apocalyptic number.

255668160000 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 255668160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489655660032).

255668160000 is an abundant number, since it is smaller than the sum of its proper divisors (723643160064).

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

255668160000 is an equidigital number, since it uses as much as digits as its factorization.

255668160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 255668160000 in words is "two hundred fifty-five billion, six hundred sixty-eight million, one hundred sixty thousand".