13367895952320 has 672 divisors, whose sum is σ = 56859197391360. Its totient is φ = 2807100334080.

The previous prime is 13367895952297. The next prime is 13367895952349. The reversal of 13367895952320 is 2325959876331.

It is a happy number.

13367895952320 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 7 + 8 + 9 + 595 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55178011 + ... + 55419749.

It is an arithmetic number, because the mean of its divisors is an integer number (84611900880).

Almost surely, 2^{13367895952320} is an apocalyptic number.

13367895952320 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 13367895952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28429598695680).

13367895952320 is an abundant number, since it is smaller than the sum of its proper divisors (43491301439040).

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

13367895952320 is a wasteful number, since it uses less digits than its factorization.

13367895952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241993 (or 241980 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 13367895952320 in words is "thirteen trillion, three hundred sixty-seven billion, eight hundred ninety-five million, nine hundred fifty-two thousand, three hundred twenty".