255331824384 has 576 divisors, whose sum is σ = 876739297280. Its totient is φ = 64158842880.

The previous prime is 255331824337. The next prime is 255331824481. The reversal of 255331824384 is 483428133552.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145156497 + ... + 145158255.

Almost surely, 2^255331824384 is an apocalyptic number.

255331824384 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 255331824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438369648640).

255331824384 is an abundant number, since it is smaller than the sum of its proper divisors (621407472896).

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

255331824384 is a wasteful number, since it uses less digits than its factorization.

255331824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1882 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

It can be divided in two parts, 255331 and 824384, that added together give a triangular number (1079715 = T₁₄₆₉).

The spelling of 255331824384 in words is "two hundred fifty-five billion, three hundred thirty-one million, eight hundred twenty-four thousand, three hundred eighty-four".