255609681600 has 1344 divisors, whose sum is σ = 1092694507520. Its totient is φ = 50861260800.

The previous prime is 255609681583. The next prime is 255609681611. The reversal of 255609681600 is 6186906552.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 255609681600.

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 191 ways as a sum of consecutive naturals, for example, 582254181 + ... + 582254619.

Almost surely, 2^255609681600 is an apocalyptic number.

255609681600 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 255609681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546347253760).

255609681600 is an abundant number, since it is smaller than the sum of its proper divisors (837084825920).

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

255609681600 is a wasteful number, since it uses less digits than its factorization.

255609681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 255609681600 in words is "two hundred fifty-five billion, six hundred nine million, six hundred eighty-one thousand, six hundred".