13093435330560 has 1664 divisors, whose sum is σ = 51454682496000. Its totient is φ = 3178424696832.

The previous prime is 13093435330511. The next prime is 13093435330579. The reversal of 13093435330560 is 6503353439031.

13093435330560 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 4 + 3 + 53 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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, 65796157341 + ... + 65796157539.

Almost surely, 2^{13093435330560} is an apocalyptic number.

13093435330560 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 13093435330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727341248000).

13093435330560 is an abundant number, since it is smaller than the sum of its proper divisors (38361247165440).

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

13093435330560 is an equidigital number, since it uses as much as digits as its factorization.

13093435330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 45.

Adding to 13093435330560 its reverse (6503353439031), we get a palindrome (19596788769591).

The spelling of 13093435330560 in words is "thirteen trillion, ninety-three billion, four hundred thirty-five million, three hundred thirty thousand, five hundred sixty".