822916897920 has 1536 divisors, whose sum is σ = 3340183392000. Its totient is φ = 184987680768.

The previous prime is 822916897909. The next prime is 822916897963. The reversal of 822916897920 is 29798619228.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8483679312 + ... + 8483679408.

Almost surely, 2^822916897920 is an apocalyptic number.

822916897920 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 822916897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670091696000).

822916897920 is an abundant number, since it is smaller than the sum of its proper divisors (2517266494080).

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

822916897920 is a wasteful number, since it uses less digits than its factorization.

822916897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 822916897920 in words is "eight hundred twenty-two billion, nine hundred sixteen million, eight hundred ninety-seven thousand, nine hundred twenty".