13365557080320 has 576 divisors, whose sum is σ = 44024759735040. Its totient is φ = 3454451712000.

The previous prime is 13365557080319. The next prime is 13365557080367. The reversal of 13365557080320 is 2308075556331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13365557080320.

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, 5417735727 + ... + 5417738193.

It is an arithmetic number, because the mean of its divisors is an integer number (76431874540).

Almost surely, 2^{13365557080320} is an apocalyptic number.

13365557080320 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 13365557080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012379867520).

13365557080320 is an abundant number, since it is smaller than the sum of its proper divisors (30659202654720).

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

13365557080320 is a wasteful number, since it uses less digits than its factorization.

13365557080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 13365557080320 in words is "thirteen trillion, three hundred sixty-five billion, five hundred fifty-seven million, eighty thousand, three hundred twenty".