13552244742960 has 1280 divisors, whose sum is σ = 61226938368000. Its totient is φ = 2672805703680.

The previous prime is 13552244742863. The next prime is 13552244742979. The reversal of 13552244742960 is 6924744225531.

13552244742960 is a `hidden beast` number, since 1 + 3 + 5 + 522 + 44 + 74 + 2 + 9 + 6 + 0 = 666.

13552244742960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13552244742897 and 13552244742906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 284549709 + ... + 284597331.

It is an arithmetic number, because the mean of its divisors is an integer number (47833545600).

Almost surely, 2^{13552244742960} is an apocalyptic number.

13552244742960 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 13552244742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30613469184000).

13552244742960 is an abundant number, since it is smaller than the sum of its proper divisors (47674693625040).

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

13552244742960 is a wasteful number, since it uses less digits than its factorization.

13552244742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47751 (or 47739 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 13552244742960 in words is "thirteen trillion, five hundred fifty-two billion, two hundred forty-four million, seven hundred forty-two thousand, nine hundred sixty".