827444082748800 has 768 divisors, whose sum is σ = 3070559857305600. Its totient is φ = 194027249664000.

The previous prime is 827444082748781. The next prime is 827444082748849. The reversal of 827444082748800 is 8847280444728.

827444082748800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 6838489902 + ... + 6838610898.

It is an arithmetic number, because the mean of its divisors is an integer number (3998124814200).

Almost surely, 2^{827444082748800} is an apocalyptic number.

827444082748800 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 827444082748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535279928652800).

827444082748800 is an abundant number, since it is smaller than the sum of its proper divisors (2243115774556800).

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

827444082748800 is a wasteful number, since it uses less digits than its factorization.

827444082748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123155 (or 123138 counting only the distinct ones).

The product of its (nonzero) digits is 205520896, while the sum is 66.

The spelling of 827444082748800 in words is "eight hundred twenty-seven trillion, four hundred forty-four billion, eighty-two million, seven hundred forty-eight thousand, eight hundred".