13158547960320 has 1280 divisors, whose sum is σ = 58089623454720. Its totient is φ = 2754176090112.

The previous prime is 13158547960319. The next prime is 13158547960339. The reversal of 13158547960320 is 2306974585131.

It is a happy number.

13158547960320 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 8 + 5 + 4 + 7 + 9 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 127 ways as a sum of consecutive naturals, for example, 304313742 + ... + 304356978.

It is an arithmetic number, because the mean of its divisors is an integer number (45382518324).

It is a 1-persistent number, because it is pandigital, but 2⋅13158547960320 = 26317095920640 is not.

Almost surely, 2^{13158547960320} is an apocalyptic number.

13158547960320 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 13158547960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29044811727360).

13158547960320 is an abundant number, since it is smaller than the sum of its proper divisors (44931075494400).

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

13158547960320 is a wasteful number, since it uses less digits than its factorization.

13158547960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43330 (or 43308 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13158547960320 in words is "thirteen trillion, one hundred fifty-eight billion, five hundred forty-seven million, nine hundred sixty thousand, three hundred twenty".