13531200540 has 192 divisors, whose sum is σ = 45947768832. Its totient is φ = 2930227200.

The previous prime is 13531200511. The next prime is 13531200547. The reversal of 13531200540 is 4500213531.

It is a self number, because there is not a number n which added to its sum of digits gives 13531200540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531200547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240544 + ... + 291416.

It is an arithmetic number, because the mean of its divisors is an integer number (239311296).

Almost surely, 2^13531200540 is an apocalyptic number.

13531200540 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 13531200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973884416).

13531200540 is an abundant number, since it is smaller than the sum of its proper divisors (32416568292).

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

13531200540 is a wasteful number, since it uses less digits than its factorization.

13531200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50940 (or 50938 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 13531200540 in words is "thirteen billion, five hundred thirty-one million, two hundred thousand, five hundred forty".