13091547280896 has 1440 divisors, whose sum is σ = 46213212165120. Its totient is φ = 3554699968512.

The previous prime is 13091547280873. The next prime is 13091547280907. The reversal of 13091547280896 is 69808274519031.

13091547280896 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 1 + 5 + 472 + 80 + 89 + 6 = 666.

It is a super-2 number, since 2×13091547280896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78392498605 + ... + 78392498771.

It is an arithmetic number, because the mean of its divisors is an integer number (32092508448).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13091547280896 = 26183094561792, but 3⋅13091547280896 = 39274641842688 is not.

Almost surely, 2^{13091547280896} is an apocalyptic number.

13091547280896 is a gapful number since it is divisible by the number (16) 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 13091547280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106606082560).

13091547280896 is an abundant number, since it is smaller than the sum of its proper divisors (33121664884224).

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

13091547280896 is a wasteful number, since it uses less digits than its factorization.

13091547280896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13091547280896 in words is "thirteen trillion, ninety-one billion, five hundred forty-seven million, two hundred eighty thousand, eight hundred ninety-six".