13506691280 has 80 divisors (see below), whose sum is σ = 31913363664. Its totient is φ = 5315543040.

The previous prime is 13506691207. The next prime is 13506691321. The reversal of 13506691280 is 8219660531.

It can be written as a sum of positive squares in 8 ways, for example, as 432140944 + 13074550336 = 20788^2 + 114344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337450 + ... + 1347510.

Almost surely, 2^13506691280 is an apocalyptic number.

13506691280 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 13506691280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956681832).

13506691280 is an abundant number, since it is smaller than the sum of its proper divisors (18406672384).

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

13506691280 is a wasteful number, since it uses less digits than its factorization.

13506691280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 13506691280 in words is "thirteen billion, five hundred six million, six hundred ninety-one thousand, two hundred eighty".