13035744408960 has 3072 divisors, whose sum is σ = 60774246973440. Its totient is φ = 2596014489600.

The previous prime is 13035744408937. The next prime is 13035744408977. The reversal of 13035744408960 is 6980444753031.

13035744408960 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 574 + 4 + 4 + 0 + 8 + 9 + 60 = 666.

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 = 13035744408897 and 13035744408906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18865042215 + ... + 18865042905.

It is an arithmetic number, because the mean of its divisors is an integer number (19783283520).

Almost surely, 2^{13035744408960} is an apocalyptic number.

13035744408960 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 13035744408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387123486720).

13035744408960 is an abundant number, since it is smaller than the sum of its proper divisors (47738502564480).

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

13035744408960 is a wasteful number, since it uses less digits than its factorization.

13035744408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13035744408960 in words is "thirteen trillion, thirty-five billion, seven hundred forty-four million, four hundred eight thousand, nine hundred sixty".