12601815516576 has 576 divisors, whose sum is σ = 42956667097344. Its totient is φ = 3453832396800.

The previous prime is 12601815516569. The next prime is 12601815516581. The reversal of 12601815516576 is 67561551810621.

12601815516576 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 8 + 1 + 55 + 16 + 576 = 666.

12601815516576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 660705376 + ... + 660724448.

It is an arithmetic number, because the mean of its divisors is an integer number (74577547044).

Almost surely, 2^{12601815516576} is an apocalyptic number.

12601815516576 is a gapful number since it is divisible by the number (16) 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 12601815516576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21478333548672).

12601815516576 is an abundant number, since it is smaller than the sum of its proper divisors (30354851580768).

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

12601815516576 is a wasteful number, since it uses less digits than its factorization.

12601815516576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19437 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 12601815516576 in words is "twelve trillion, six hundred one billion, eight hundred fifteen million, five hundred sixteen thousand, five hundred seventy-six".