13542300110880 has 288 divisors, whose sum is σ = 46884371788800. Its totient is φ = 3558868346880.

The previous prime is 13542300110851. The next prime is 13542300110881. The reversal of 13542300110880 is 8801100324531.

13542300110880 is a `hidden beast` number, since 1 + 3 + 542 + 3 + 0 + 0 + 1 + 108 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13542300110881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245246154 + ... + 245301366.

It is an arithmetic number, because the mean of its divisors is an integer number (162792957600).

Almost surely, 2^{13542300110880} is an apocalyptic number.

13542300110880 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 13542300110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442185894400).

13542300110880 is an abundant number, since it is smaller than the sum of its proper divisors (33342071677920).

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

13542300110880 is a wasteful number, since it uses less digits than its factorization.

13542300110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57704 (or 57693 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13542300110880 in words is "thirteen trillion, five hundred forty-two billion, three hundred million, one hundred ten thousand, eight hundred eighty".