13503168288000 has 1152 divisors, whose sum is σ = 51635305612800. Its totient is φ = 3472736256000.

The previous prime is 13503168287951. The next prime is 13503168288011. The reversal of 13503168288000 is 88286130531.

13503168288000 is a `hidden beast` number, since 1 + 3 + 50 + 316 + 8 + 288 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 3152733859 + ... + 3152738141.

It is an arithmetic number, because the mean of its divisors is an integer number (44822313900).

Almost surely, 2^{13503168288000} is an apocalyptic number.

13503168288000 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 13503168288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817652806400).

13503168288000 is an abundant number, since it is smaller than the sum of its proper divisors (38132137324800).

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

13503168288000 is an equidigital number, since it uses as much as digits as its factorization.

13503168288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13503168288000 in words is "thirteen trillion, five hundred three billion, one hundred sixty-eight million, two hundred eighty-eight thousand".