13530502656 has 240 divisors, whose sum is σ = 44028692400. Its totient is φ = 4099645440.

The previous prime is 13530502649. The next prime is 13530502663. The reversal of 13530502656 is 65620503531.

13530502656 is a `hidden beast` number, since 1 + 3 + 530 + 50 + 26 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (13530502649) and next prime (13530502663).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13530502656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668660 + ... + 1676748.

It is an arithmetic number, because the mean of its divisors is an integer number (183452885).

Almost surely, 2^13530502656 is an apocalyptic number.

13530502656 is a gapful number since it is divisible by the number (16) 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 13530502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014346200).

13530502656 is an abundant number, since it is smaller than the sum of its proper divisors (30498189744).

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

13530502656 is an equidigital number, since it uses as much as digits as its factorization.

13530502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13530502656 in words is "thirteen billion, five hundred thirty million, five hundred two thousand, six hundred fifty-six".