13198235995728 has 480 divisors, whose sum is σ = 43588067328000. Its totient is φ = 3650117151744.

The previous prime is 13198235995723. The next prime is 13198235995739. The reversal of 13198235995728 is 82759953289131.

13198235995728 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 8 + 2 + 3 + 599 + 5 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198235995723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1687102825 + ... + 1687110647.

It is an arithmetic number, because the mean of its divisors is an integer number (90808473600).

Almost surely, 2^{13198235995728} is an apocalyptic number.

13198235995728 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 13198235995728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794033664000).

13198235995728 is an abundant number, since it is smaller than the sum of its proper divisors (30389831332272).

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

13198235995728 is a wasteful number, since it uses less digits than its factorization.

13198235995728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8270 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 13198235995728 in words is "thirteen trillion, one hundred ninety-eight billion, two hundred thirty-five million, nine hundred ninety-five thousand, seven hundred twenty-eight".