12608628480 has 432 divisors, whose sum is σ = 51712088064. Its totient is φ = 2881474560.

The previous prime is 12608628449. The next prime is 12608628499. The reversal of 12608628480 is 8482680621.

12608628480 is a `hidden beast` number, since 12 + 6 + 0 + 8 + 628 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×12608628480² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2174385 + ... + 2180175.

Almost surely, 2^12608628480 is an apocalyptic number.

12608628480 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 12608628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25856044032).

12608628480 is an abundant number, since it is smaller than the sum of its proper divisors (39103459584).

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

12608628480 is an frugal number, since it uses more digits than its factorization.

12608628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12608628480 in words is "twelve billion, six hundred eight million, six hundred twenty-eight thousand, four hundred eighty".