9822999513600 has 3840 divisors, whose sum is σ = 49510031155200. Its totient is φ = 1846054748160.

The previous prime is 9822999513589. The next prime is 9822999513737. The reversal of 9822999513600 is 63159992289.

9822999513600 is a `hidden beast` number, since 9 + 8 + 2 + 2 + 9 + 9 + 9 + 5 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10158220317 + ... + 10158221283.

It is an arithmetic number, because the mean of its divisors is an integer number (12893237280).

Almost surely, 2^{9822999513600} is an apocalyptic number.

9822999513600 is a gapful number since it is divisible by the number (90) 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 9822999513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755015577600).

9822999513600 is an abundant number, since it is smaller than the sum of its proper divisors (39687031641600).

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

9822999513600 is a wasteful number, since it uses less digits than its factorization.

9822999513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 9822999513600 in words is "nine trillion, eight hundred twenty-two billion, nine hundred ninety-nine million, five hundred thirteen thousand, six hundred".