13349392875000 has 1344 divisors, whose sum is σ = 58557750451200. Its totient is φ = 2667945600000.

The previous prime is 13349392874977. The next prime is 13349392875037. The reversal of 13349392875000 is 57829394331.

13349392875000 is a `hidden beast` number, since 1 + 3 + 3 + 49 + 3 + 92 + 8 + 7 + 500 + 0 = 666.

It is a super-2 number, since 2×13349392875000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1945121569 + ... + 1945128431.

It is an arithmetic number, because the mean of its divisors is an integer number (43569754800).

Almost surely, 2^{13349392875000} is an apocalyptic number.

13349392875000 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 13349392875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278875225600).

13349392875000 is an abundant number, since it is smaller than the sum of its proper divisors (45208357576200).

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

13349392875000 is a wasteful number, since it uses less digits than its factorization.

13349392875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13349392875000 in words is "thirteen trillion, three hundred forty-nine billion, three hundred ninety-two million, eight hundred seventy-five thousand".