255004266247920 has 720 divisors, whose sum is σ = 1039847386513728. Its totient is φ = 54849739161600.

The previous prime is 255004266247919. The next prime is 255004266247949. The reversal of 255004266247920 is 29742662400552.

255004266247920 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 0 + 4 + 2 + 6 + 624 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17707392720 + ... + 17707407120.

Almost surely, 2^{255004266247920} is an apocalyptic number.

255004266247920 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 255004266247920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519923693256864).

255004266247920 is an abundant number, since it is smaller than the sum of its proper divisors (784843120265808).

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

255004266247920 is a wasteful number, since it uses less digits than its factorization.

255004266247920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26618 (or 26592 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 255004266247920 in words is "two hundred fifty-five trillion, four billion, two hundred sixty-six million, two hundred forty-seven thousand, nine hundred twenty".