12989433600 has 1296 divisors, whose sum is σ = 58122529920. Its totient is φ = 2720563200.

The previous prime is 12989433577. The next prime is 12989433617. The reversal of 12989433600 is 633498921.

It is a happy number.

12989433600 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 9 + 4 + 33 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156499159 + ... + 156499241.

Almost surely, 2^12989433600 is an apocalyptic number.

12989433600 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 12989433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061264960).

12989433600 is an abundant number, since it is smaller than the sum of its proper divisors (45133096320).

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

12989433600 is a wasteful number, since it uses less digits than its factorization.

12989433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12989433600 in words is "twelve billion, nine hundred eighty-nine million, four hundred thirty-three thousand, six hundred".