13554138057600 has 1152 divisors, whose sum is σ = 52497059973120. Its totient is φ = 3064646860800.

The previous prime is 13554138057569. The next prime is 13554138057619. The reversal of 13554138057600 is 675083145531.

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 13554138057600.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 23090524507 + ... + 23090525093.

It is an arithmetic number, because the mean of its divisors is an integer number (45570364560).

Almost surely, 2^{13554138057600} is an apocalyptic number.

13554138057600 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 13554138057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248529986560).

13554138057600 is an abundant number, since it is smaller than the sum of its proper divisors (38942921915520).

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

13554138057600 is a wasteful number, since it uses less digits than its factorization.

13554138057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 13554138057600 in words is "thirteen trillion, five hundred fifty-four billion, one hundred thirty-eight million, fifty-seven thousand, six hundred".