13655411516320 has 1152 divisors, whose sum is σ = 42972583449600. Its totient is φ = 4075422253056.

The previous prime is 13655411516317. The next prime is 13655411516323. The reversal of 13655411516320 is 2361511455631.

It is an interprime number because it is at equal distance from previous prime (13655411516317) and next prime (13655411516323).

It is not an unprimeable number, because it can be changed into a prime (13655411516323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34396502362 + ... + 34396502758.

It is an arithmetic number, because the mean of its divisors is an integer number (37302589800).

Almost surely, 2^{13655411516320} is an apocalyptic number.

13655411516320 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 13655411516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486291724800).

13655411516320 is an abundant number, since it is smaller than the sum of its proper divisors (29317171933280).

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

13655411516320 is a wasteful number, since it uses less digits than its factorization.

13655411516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 13655411516320 in words is "thirteen trillion, six hundred fifty-five billion, four hundred eleven million, five hundred sixteen thousand, three hundred twenty".