13159934853120 has 1440 divisors, whose sum is σ = 53203167553536. Its totient is φ = 3083128012800.

The previous prime is 13159934853061. The next prime is 13159934853161. The reversal of 13159934853120 is 2135843995131.

It is a happy number.

13159934853120 is a `hidden beast` number, since 1 + 3 + 1 + 59 + 9 + 34 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18101698197 + ... + 18101698923.

Almost surely, 2^{13159934853120} is an apocalyptic number.

13159934853120 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 13159934853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601583776768).

13159934853120 is an abundant number, since it is smaller than the sum of its proper divisors (40043232700416).

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

13159934853120 is an frugal number, since it uses more digits than its factorization.

13159934853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 13159934853120 in words is "thirteen trillion, one hundred fifty-nine billion, nine hundred thirty-four million, eight hundred fifty-three thousand, one hundred twenty".