12466195560 has 384 divisors, whose sum is σ = 50391694080. Its totient is φ = 2602450944.

The previous prime is 12466195559. The next prime is 12466195589. The reversal of 12466195560 is 6559166421.

12466195560 is a `hidden beast` number, since 1 + 24 + 6 + 61 + 9 + 5 + 560 = 666.

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

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, 3175759 + ... + 3179681.

It is an arithmetic number, because the mean of its divisors is an integer number (131228370).

Almost surely, 2^12466195560 is an apocalyptic number.

12466195560 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 12466195560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25195847040).

12466195560 is an abundant number, since it is smaller than the sum of its proper divisors (37925498520).

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

12466195560 is a wasteful number, since it uses less digits than its factorization.

12466195560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12466195560 in words is "twelve billion, four hundred sixty-six million, one hundred ninety-five thousand, five hundred sixty".