12603459960 has 768 divisors, whose sum is σ = 53967513600. Its totient is φ = 2478034944.

The previous prime is 12603459923. The next prime is 12603459997. The reversal of 12603459960 is 6995430621.

12603459960 is a `hidden beast` number, since 1 + 26 + 0 + 34 + 599 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12603459923) and next prime (12603459997).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32399446 + ... + 32399834.

It is an arithmetic number, because the mean of its divisors is an integer number (70270200).

Almost surely, 2^12603459960 is an apocalyptic number.

12603459960 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 12603459960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983756800).

12603459960 is an abundant number, since it is smaller than the sum of its proper divisors (41364053640).

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

12603459960 is a wasteful number, since it uses less digits than its factorization.

12603459960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12603459960 in words is "twelve billion, six hundred three million, four hundred fifty-nine thousand, nine hundred sixty".