12559182090 has 128 divisors (see below), whose sum is σ = 37275420672. Its totient is φ = 2637169920.

The previous prime is 12559182079. The next prime is 12559182113. The reversal of 12559182090 is 9028195521.

12559182090 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 (42).

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 63 ways as a sum of consecutive naturals, for example, 565129 + ... + 586931.

It is an arithmetic number, because the mean of its divisors is an integer number (291214224).

Almost surely, 2^12559182090 is an apocalyptic number.

12559182090 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 12559182090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637710336).

12559182090 is an abundant number, since it is smaller than the sum of its proper divisors (24716238582).

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

12559182090 is a wasteful number, since it uses less digits than its factorization.

12559182090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044.

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 12559182090 in words is "twelve billion, five hundred fifty-nine million, one hundred eighty-two thousand, ninety".