825621831884800 has 168 divisors, whose sum is σ = 2047499492662116. Its totient is φ = 330235454423040.

The previous prime is 825621831884791. The next prime is 825621831884821. The reversal of 825621831884800 is 8488138126528.

It can be written as a sum of positive squares in 6 ways, for example, as 588536731570176 + 237085100314624 = 24259776^2 + 15397568^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6282583894 + ... + 6282715306.

Almost surely, 2^{825621831884800} is an apocalyptic number.

825621831884800 is a gapful number since it is divisible by the number (80) 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 825621831884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023749746331058).

825621831884800 is an abundant number, since it is smaller than the sum of its proper divisors (1221877660777316).

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

825621831884800 is a wasteful number, since it uses less digits than its factorization.

825621831884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162126 (or 162097 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 64.

The spelling of 825621831884800 in words is "eight hundred twenty-five trillion, six hundred twenty-one billion, eight hundred thirty-one million, eight hundred eighty-four thousand, eight hundred".