825882220800 has 3240 divisors, whose sum is σ = 3983014023912. Its totient is φ = 167215104000.

The previous prime is 825882220799. The next prime is 825882220843. The reversal of 825882220800 is 8022288528.

It can be written as a sum of positive squares in 12 ways, for example, as 772598808576 + 53283412224 = 878976^2 + 230832^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13539052770 + ... + 13539052830.

Almost surely, 2^825882220800 is an apocalyptic number.

825882220800 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 825882220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991507011956).

825882220800 is an abundant number, since it is smaller than the sum of its proper divisors (3157131803112).

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

825882220800 is a wasteful number, since it uses less digits than its factorization.

825882220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 825882220800 in words is "eight hundred twenty-five billion, eight hundred eighty-two million, two hundred twenty thousand, eight hundred".