13492841512320 has 768 divisors, whose sum is σ = 49521326400000. Its totient is φ = 3375762407424.

The previous prime is 13492841512307. The next prime is 13492841512349. The reversal of 13492841512320 is 2321514829431.

13492841512320 is a `hidden beast` number, since 1 + 3 + 4 + 92 + 8 + 41 + 512 + 3 + 2 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5074403151 + ... + 5074405809.

It is an arithmetic number, because the mean of its divisors is an integer number (64480893750).

Almost surely, 2^{13492841512320} is an apocalyptic number.

13492841512320 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 13492841512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760663200000).

13492841512320 is an abundant number, since it is smaller than the sum of its proper divisors (36028484887680).

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

13492841512320 is a wasteful number, since it uses less digits than its factorization.

13492841512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13492841512320 in words is "thirteen trillion, four hundred ninety-two billion, eight hundred forty-one million, five hundred twelve thousand, three hundred twenty".