13530797280 has 1440 divisors, whose sum is σ = 65698063200. Its totient is φ = 2577899520.

The previous prime is 13530797263. The next prime is 13530797303. The reversal of 13530797280 is 8279703531.

It is a happy number.

13530797280 is a `hidden beast` number, since 1 + 3 + 530 + 7 + 97 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810646 + ... + 90810794.

It is an arithmetic number, because the mean of its divisors is an integer number (45623655).

Almost surely, 2^13530797280 is an apocalyptic number.

13530797280 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 13530797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32849031600).

13530797280 is an abundant number, since it is smaller than the sum of its proper divisors (52167265920).

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

13530797280 is a wasteful number, since it uses less digits than its factorization.

13530797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13530797280 in words is "thirteen billion, five hundred thirty million, seven hundred ninety-seven thousand, two hundred eighty".