12736018890 has 96 divisors (see below), whose sum is σ = 38191570560. Its totient is φ = 2884367232.

The previous prime is 12736018853. The next prime is 12736018909. The reversal of 12736018890 is 9881063721.

12736018890 is a `hidden beast` number, since 1 + 27 + 360 + 188 + 90 = 666.

12736018890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 24064 + ... + 161403.

It is an arithmetic number, because the mean of its divisors is an integer number (397828860).

Almost surely, 2^12736018890 is an apocalyptic number.

12736018890 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 12736018890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095785280).

12736018890 is an abundant number, since it is smaller than the sum of its proper divisors (25455551670).

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

12736018890 is a wasteful number, since it uses less digits than its factorization.

12736018890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185596 (or 185593 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12736018890 in words is "twelve billion, seven hundred thirty-six million, eighteen thousand, eight hundred ninety".