12608103029760 has 1760 divisors, whose sum is σ = 55149630750720. Its totient is φ = 2692163174400.

The previous prime is 12608103029723. The next prime is 12608103029761. The reversal of 12608103029760 is 6792030180621.

12608103029760 is a `hidden beast` number, since 1 + 2 + 608 + 1 + 0 + 30 + 2 + 9 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608103029761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2609830545 + ... + 2609835375.

It is an arithmetic number, because the mean of its divisors is an integer number (31335017472).

Almost surely, 2^{12608103029760} is an apocalyptic number.

12608103029760 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 12608103029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27574815375360).

12608103029760 is an abundant number, since it is smaller than the sum of its proper divisors (42541527720960).

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

12608103029760 is a wasteful number, since it uses less digits than its factorization.

12608103029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12608103029760 in words is "twelve trillion, six hundred eight billion, one hundred three million, twenty-nine thousand, seven hundred sixty".