255784543200 has 576 divisors, whose sum is σ = 993401418240. Its totient is φ = 63286272000.

The previous prime is 255784543171. The next prime is 255784543211. The reversal of 255784543200 is 2345487552.

255784543200 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 84 + 543 + 20 + 0 = 666.

It is a super-3 number, since 3×255784543200³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26066295 + ... + 26076105.

It is an arithmetic number, because the mean of its divisors is an integer number (1724655240).

Almost surely, 2^255784543200 is an apocalyptic number.

255784543200 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 255784543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496700709120).

255784543200 is an abundant number, since it is smaller than the sum of its proper divisors (737616875040).

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

255784543200 is a wasteful number, since it uses less digits than its factorization.

255784543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 255784543200 in words is "two hundred fifty-five billion, seven hundred eighty-four million, five hundred forty-three thousand, two hundred".