13530654720 has 480 divisors, whose sum is σ = 52942649760. Its totient is φ = 3277946880.

The previous prime is 13530654713. The next prime is 13530654763. The reversal of 13530654720 is 2745603531.

13530654720 is a `hidden beast` number, since 1 + 3 + 530 + 6 + 54 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123099 + ... + 9124581.

It is an arithmetic number, because the mean of its divisors is an integer number (110297187).

Almost surely, 2^13530654720 is an apocalyptic number.

13530654720 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 13530654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26471324880).

13530654720 is an abundant number, since it is smaller than the sum of its proper divisors (39411995040).

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

13530654720 is a wasteful number, since it uses less digits than its factorization.

13530654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13530654720 in words is "thirteen billion, five hundred thirty million, six hundred fifty-four thousand, seven hundred twenty".