9823121280 has 768 divisors, whose sum is σ = 41549414400. Its totient is φ = 2090188800.

The previous prime is 9823121219. The next prime is 9823121281. The reversal of 9823121280 is 821213289.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9823121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36247545 + ... + 36247815.

It is an arithmetic number, because the mean of its divisors is an integer number (54100800).

Almost surely, 2^9823121280 is an apocalyptic number.

9823121280 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 9823121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774707200).

9823121280 is an abundant number, since it is smaller than the sum of its proper divisors (31726293120).

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

9823121280 is a wasteful number, since it uses less digits than its factorization.

9823121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9823121280 is about 99111.6606661396. The cubic root of 9823121280 is about 2141.6565971524.

The spelling of 9823121280 in words is "nine billion, eight hundred twenty-three million, one hundred twenty-one thousand, two hundred eighty".