822982651920 has 1440 divisors, whose sum is σ = 3461602193280. Its totient is φ = 178507929600.

The previous prime is 822982651879. The next prime is 822982651991. The reversal of 822982651920 is 29156289228.

It is a happy number.

822982651920 is a `hidden beast` number, since 8 + 2 + 29 + 82 + 6 + 519 + 20 = 666.

822982651920 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 super-2 number, since 2×822982651920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6282310255 + ... + 6282310385.

It is an arithmetic number, because the mean of its divisors is an integer number (2403890412).

Almost surely, 2^822982651920 is an apocalyptic number.

822982651920 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 822982651920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730801096640).

822982651920 is an abundant number, since it is smaller than the sum of its proper divisors (2638619541360).

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

822982651920 is a wasteful number, since it uses less digits than its factorization.

822982651920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 822982651920 in words is "eight hundred twenty-two billion, nine hundred eighty-two million, six hundred fifty-one thousand, nine hundred twenty".