13782360088320 has 288 divisors, whose sum is σ = 44203117147392. Its totient is φ = 3659808669696.

The previous prime is 13782360088319. The next prime is 13782360088339. The reversal of 13782360088320 is 2388006328731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028902844 + ... + 2028909636.

Almost surely, 2^{13782360088320} is an apocalyptic number.

13782360088320 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 13782360088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22101558573696).

13782360088320 is an abundant number, since it is smaller than the sum of its proper divisors (30420757059072).

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

13782360088320 is a wasteful number, since it uses less digits than its factorization.

13782360088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 13782360088320 in words is "thirteen trillion, seven hundred eighty-two billion, three hundred sixty million, eighty-eight thousand, three hundred twenty".