12609192960 has 1056 divisors, whose sum is σ = 56079808512. Its totient is φ = 2548039680.

The previous prime is 12609192949. The next prime is 12609192971. The reversal of 12609192960 is 6929190621.

12609192960 is a `hidden beast` number, since 1 + 2 + 609 + 19 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12609192949) and next prime (12609192971).

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 95 ways as a sum of consecutive naturals, for example, 129991632 + ... + 129991728.

Almost surely, 2^12609192960 is an apocalyptic number.

12609192960 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 12609192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28039904256).

12609192960 is an abundant number, since it is smaller than the sum of its proper divisors (43470615552).

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

12609192960 is a wasteful number, since it uses less digits than its factorization.

12609192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 12609192960 in words is "twelve billion, six hundred nine million, one hundred ninety-two thousand, nine hundred sixty".