13197063928608 has 1728 divisors, whose sum is σ = 49757355648000. Its totient is φ = 3359863535616.

The previous prime is 13197063928603. The next prime is 13197063928619. The reversal of 13197063928608 is 80682936079131.

13197063928608 is a `hidden beast` number, since 1 + 3 + 19 + 7 + 0 + 6 + 3 + 9 + 2 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13197063928603) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34820748963 + ... + 34820749341.

It is an arithmetic number, because the mean of its divisors is an integer number (28794766000).

Almost surely, 2^{13197063928608} is an apocalyptic number.

13197063928608 is a gapful number since it is divisible by the number (18) 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 13197063928608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24878677824000).

13197063928608 is an abundant number, since it is smaller than the sum of its proper divisors (36560291719392).

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

13197063928608 is an equidigital number, since it uses as much as digits as its factorization.

13197063928608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 13197063928608 in words is "thirteen trillion, one hundred ninety-seven billion, sixty-three million, nine hundred twenty-eight thousand, six hundred eight".