13908542553360 has 1280 divisors, whose sum is σ = 62541997056000. Its totient is φ = 2758780477440.

The previous prime is 13908542553349. The next prime is 13908542553391. The reversal of 13908542553360 is 6335524580931.

13908542553360 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 8 + 5 + 42 + 5 + 533 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13908542553297 and 13908542553306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 489223626 + ... + 489252054.

It is an arithmetic number, because the mean of its divisors is an integer number (48860935200).

Almost surely, 2^{13908542553360} is an apocalyptic number.

13908542553360 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 13908542553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31270998528000).

13908542553360 is an abundant number, since it is smaller than the sum of its proper divisors (48633454502640).

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

13908542553360 is a wasteful number, since it uses less digits than its factorization.

13908542553360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28621 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 13908542553360 in words is "thirteen trillion, nine hundred eight billion, five hundred forty-two million, five hundred fifty-three thousand, three hundred sixty".