822580012800 has 3240 divisors, whose sum is σ = 3964659120576. Its totient is φ = 166657720320.

The previous prime is 822580012757. The next prime is 822580012861. The reversal of 822580012800 is 8210085228.

It is a happy number.

822580012800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15520377574 + ... + 15520377626.

Almost surely, 2^822580012800 is an apocalyptic number.

822580012800 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 822580012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982329560288).

822580012800 is an abundant number, since it is smaller than the sum of its proper divisors (3142079107776).

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

822580012800 is a wasteful number, since it uses less digits than its factorization.

822580012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 822580012800 in words is "eight hundred twenty-two billion, five hundred eighty million, twelve thousand, eight hundred".