12589903872 has 624 divisors, whose sum is σ = 46750296320. Its totient is φ = 3296526336.

The previous prime is 12589903867. The next prime is 12589903873. The reversal of 12589903872 is 27830998521.

12589903872 is a `hidden beast` number, since 1 + 258 + 9 + 9 + 0 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12589903873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574779 + ... + 90574917.

Almost surely, 2^12589903872 is an apocalyptic number.

12589903872 is a gapful number since it is divisible by the number (12) 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 12589903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23375148160).

12589903872 is an abundant number, since it is smaller than the sum of its proper divisors (34160392448).

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

12589903872 is an equidigital number, since it uses as much as digits as its factorization.

12589903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 12589903872 in words is "twelve billion, five hundred eighty-nine million, nine hundred three thousand, eight hundred seventy-two".