12823937280 has 1152 divisors, whose sum is σ = 58396262400. Its totient is φ = 2587852800.

The previous prime is 12823937261. The next prime is 12823937297. The reversal of 12823937280 is 8273932821.

12823937280 is a `hidden beast` number, since 1 + 282 + 3 + 93 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12823937280² (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 162328281 + ... + 162328359.

It is an arithmetic number, because the mean of its divisors is an integer number (50691200).

Almost surely, 2^12823937280 is an apocalyptic number.

12823937280 is a gapful number since it is divisible by the number (10) 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 12823937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198131200).

12823937280 is an abundant number, since it is smaller than the sum of its proper divisors (45572325120).

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

12823937280 is a wasteful number, since it uses less digits than its factorization.

12823937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12823937280 in words is "twelve billion, eight hundred twenty-three million, nine hundred thirty-seven thousand, two hundred eighty".