821245968000 has 384 divisors, whose sum is σ = 3104536219200. Its totient is φ = 207471974400.

The previous prime is 821245967999. The next prime is 821245968047. The reversal of 821245968000 is 869542128.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2585919 + ... + 2886081.

Almost surely, 2^821245968000 is an apocalyptic number.

821245968000 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 821245968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552268109600).

821245968000 is an abundant number, since it is smaller than the sum of its proper divisors (2283290251200).

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

821245968000 is a wasteful number, since it uses less digits than its factorization.

821245968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300217 (or 300192 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 821245968000 in words is "eight hundred twenty-one billion, two hundred forty-five million, nine hundred sixty-eight thousand".