13530746560 has 112 divisors (see below), whose sum is σ = 32623451136. Its totient is φ = 5344919552.

The previous prime is 13530746549. The next prime is 13530746623. The reversal of 13530746560 is 6564703531.

It is a super-2 number, since 2×13530746560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 13848792 + ... + 13849768.

Almost surely, 2^13530746560 is an apocalyptic number.

13530746560 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 13530746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311725568).

13530746560 is an abundant number, since it is smaller than the sum of its proper divisors (19092704576).

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

13530746560 is a wasteful number, since it uses less digits than its factorization.

13530746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 13530746560 in words is "thirteen billion, five hundred thirty million, seven hundred forty-six thousand, five hundred sixty".