13389907148800 has 2160 divisors, whose sum is σ = 45587584187040. Its totient is φ = 3852635996160.

The previous prime is 13389907148797. The next prime is 13389907148803. The reversal of 13389907148800 is 884170998331.

It is an interprime number because it is at equal distance from previous prime (13389907148797) and next prime (13389907148803).

It is a super-2 number, since 2×13389907148800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13389907148803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183423385564 + ... + 183423385636.

Almost surely, 2^{13389907148800} is an apocalyptic number.

13389907148800 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 13389907148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22793792093520).

13389907148800 is an abundant number, since it is smaller than the sum of its proper divisors (32197677038240).

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

13389907148800 is a wasteful number, since it uses less digits than its factorization.

13389907148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 13389907148800 in words is "thirteen trillion, three hundred eighty-nine billion, nine hundred seven million, one hundred forty-eight thousand, eight hundred".