12890469600 has 756 divisors, whose sum is σ = 50872478328. Its totient is φ = 3181939200.

The previous prime is 12890469563. The next prime is 12890469707. The reversal of 12890469600 is 696409821.

It is a happy number.

12890469600 is a `hidden beast` number, since 128 + 9 + 0 + 469 + 60 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 415821585 + ... + 415821615.

It is an arithmetic number, because the mean of its divisors is an integer number (67291638).

Almost surely, 2^12890469600 is an apocalyptic number.

12890469600 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 12890469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25436239164).

12890469600 is an abundant number, since it is smaller than the sum of its proper divisors (37982008728).

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

12890469600 is an equidigital number, since it uses as much as digits as its factorization.

12890469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12890469600 in words is "twelve billion, eight hundred ninety million, four hundred sixty-nine thousand, six hundred".