13260727883520 has 1296 divisors, whose sum is σ = 53548715368512. Its totient is φ = 3121667112960.

The previous prime is 13260727883449. The next prime is 13260727883527. The reversal of 13260727883520 is 2538872706231.

13260727883520 is a `hidden beast` number, since 1 + 3 + 2 + 607 + 2 + 7 + 8 + 8 + 3 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13260727883527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2511023280 + ... + 2511028560.

Almost surely, 2^{13260727883520} is an apocalyptic number.

13260727883520 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 13260727883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26774357684256).

13260727883520 is an abundant number, since it is smaller than the sum of its proper divisors (40287987484992).

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

13260727883520 is an frugal number, since it uses more digits than its factorization.

13260727883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13260727883520 in words is "thirteen trillion, two hundred sixty billion, seven hundred twenty-seven million, eight hundred eighty-three thousand, five hundred twenty".