13316730739200 has 2400 divisors, whose sum is σ = 58541191302528. Its totient is φ = 2926264320000.

The previous prime is 13316730739187. The next prime is 13316730739201. The reversal of 13316730739200 is 293703761331.

13316730739200 is a `hidden beast` number, since 1 + 3 + 316 + 7 + 307 + 3 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13316730739201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27121650955 + ... + 27121651445.

Almost surely, 2^{13316730739200} is an apocalyptic number.

13316730739200 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 13316730739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29270595651264).

13316730739200 is an abundant number, since it is smaller than the sum of its proper divisors (45224460563328).

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

13316730739200 is a wasteful number, since it uses less digits than its factorization.

13316730739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 13316730739200 in words is "thirteen trillion, three hundred sixteen billion, seven hundred thirty million, seven hundred thirty-nine thousand, two hundred".