12823749990 has 192 divisors, whose sum is σ = 36128514240. Its totient is φ = 3145236480.

The previous prime is 12823749959. The next prime is 12823749997. The reversal of 12823749990 is 9994732821.

12823749990 is a `hidden beast` number, since 128 + 23 + 7 + 499 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823749997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22224582 + ... + 22225158.

It is an arithmetic number, because the mean of its divisors is an integer number (188169345).

Almost surely, 2^12823749990 is an apocalyptic number.

12823749990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12823749990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064257120).

12823749990 is an abundant number, since it is smaller than the sum of its proper divisors (23304764250).

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

12823749990 is a wasteful number, since it uses less digits than its factorization.

12823749990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 12823749990 in words is "twelve billion, eight hundred twenty-three million, seven hundred forty-nine thousand, nine hundred ninety".