255724532784 has 480 divisors, whose sum is σ = 903086841600. Its totient is φ = 68889139200.

The previous prime is 255724532771. The next prime is 255724532797. The reversal of 255724532784 is 487235427552.

255724532784 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 24 + 532 + 7 + 84 = 666.

255724532784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255724532771) and next prime (255724532797).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 255724532784.

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 95 ways as a sum of consecutive naturals, for example, 91296184 + ... + 91298984.

It is an arithmetic number, because the mean of its divisors is an integer number (1881430920).

Almost surely, 2^255724532784 is an apocalyptic number.

255724532784 is a gapful number since it is divisible by the number (24) 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 255724532784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451543420800).

255724532784 is an abundant number, since it is smaller than the sum of its proper divisors (647362308816).

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

255724532784 is a wasteful number, since it uses less digits than its factorization.

255724532784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3059 counting only the distinct ones).

The product of its digits is 18816000, while the sum is 54.

The spelling of 255724532784 in words is "two hundred fifty-five billion, seven hundred twenty-four million, five hundred thirty-two thousand, seven hundred eighty-four".