13387823764320 has 384 divisors, whose sum is σ = 46424451870720. Its totient is φ = 3228289597440.

The previous prime is 13387823764291. The next prime is 13387823764349. The reversal of 13387823764320 is 2346732878331.

It is an interprime number because it is at equal distance from previous prime (13387823764291) and next prime (13387823764349).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34971064 + ... + 35351816.

It is an arithmetic number, because the mean of its divisors is an integer number (120897010080).

Almost surely, 2^{13387823764320} is an apocalyptic number.

13387823764320 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 13387823764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212225935360).

13387823764320 is an abundant number, since it is smaller than the sum of its proper divisors (33036628106400).

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

13387823764320 is a wasteful number, since it uses less digits than its factorization.

13387823764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380958 (or 380950 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 13387823764320 in words is "thirteen trillion, three hundred eighty-seven billion, eight hundred twenty-three million, seven hundred sixty-four thousand, three hundred twenty".