13553129418240 has 320 divisors, whose sum is σ = 45712170662400. Its totient is φ = 3416132911104.

The previous prime is 13553129418233. The next prime is 13553129418263. The reversal of 13553129418240 is 4281492135531.

It is a tau number, because it is divible by the number of its divisors (320).

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 13553129418240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63953094 + ... + 64164666.

It is an arithmetic number, because the mean of its divisors is an integer number (142850533320).

Almost surely, 2^{13553129418240} is an apocalyptic number.

13553129418240 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 13553129418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22856085331200).

13553129418240 is an abundant number, since it is smaller than the sum of its proper divisors (32159041244160).

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

13553129418240 is a wasteful number, since it uses less digits than its factorization.

13553129418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212057 (or 212041 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 13553129418240 in words is "thirteen trillion, five hundred fifty-three billion, one hundred twenty-nine million, four hundred eighteen thousand, two hundred forty".