13368730583040 has 1344 divisors, whose sum is σ = 52183827763200. Its totient is φ = 2858032300032.

The previous prime is 13368730582969. The next prime is 13368730583041. The reversal of 13368730583040 is 4038503786331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368730583041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169224437721 + ... + 169224437799.

It is an arithmetic number, because the mean of its divisors is an integer number (38827252800).

Almost surely, 2^{13368730583040} is an apocalyptic number.

13368730583040 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 13368730583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26091913881600).

13368730583040 is an abundant number, since it is smaller than the sum of its proper divisors (38815097180160).

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

13368730583040 is an frugal number, since it uses more digits than its factorization.

13368730583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 13368730583040 in words is "thirteen trillion, three hundred sixty-eight billion, seven hundred thirty million, five hundred eighty-three thousand, forty".