13199897569152 has 512 divisors, whose sum is σ = 43614351360000. Its totient is φ = 3451807457280.

The previous prime is 13199897569151. The next prime is 13199897569217. The reversal of 13199897569152 is 25196579899131.

It is a super-2 number, since 2×13199897569152² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13199897569151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980013874 + ... + 980027342.

It is an arithmetic number, because the mean of its divisors is an integer number (85184280000).

Almost surely, 2^{13199897569152} is an apocalyptic number.

13199897569152 is a gapful number since it is divisible by the number (12) 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 13199897569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807175680000).

13199897569152 is an abundant number, since it is smaller than the sum of its proper divisors (30414453790848).

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

13199897569152 is a wasteful number, since it uses less digits than its factorization.

13199897569152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14150 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 75.

The spelling of 13199897569152 in words is "thirteen trillion, one hundred ninety-nine billion, eight hundred ninety-seven million, five hundred sixty-nine thousand, one hundred fifty-two".