12606612480 has 1584 divisors, whose sum is σ = 61158464640. Its totient is φ = 2335703040.

The previous prime is 12606612449. The next prime is 12606612481. The reversal of 12606612480 is 8421660621.

12606612480 is a `hidden beast` number, since 1 + 2 + 606 + 6 + 1 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12606612481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 663505911 + ... + 663505929.

Almost surely, 2^12606612480 is an apocalyptic number.

12606612480 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 12606612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579232320).

12606612480 is an abundant number, since it is smaller than the sum of its proper divisors (48551852160).

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

12606612480 is a wasteful number, since it uses less digits than its factorization.

12606612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12606612480 in words is "twelve billion, six hundred six million, six hundred twelve thousand, four hundred eighty".