13648102560 has 192 divisors, whose sum is σ = 47942616960. Its totient is φ = 3626219520.

The previous prime is 13648102499. The next prime is 13648102561. The reversal of 13648102560 is 6520184631.

It is a happy number.

13648102560 is a `hidden beast` number, since 1 + 3 + 648 + 1 + 0 + 2 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13648102561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208299 + ... + 1219541.

It is an arithmetic number, because the mean of its divisors is an integer number (249701130).

Almost surely, 2^13648102560 is an apocalyptic number.

13648102560 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 13648102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23971308480).

13648102560 is an abundant number, since it is smaller than the sum of its proper divisors (34294514400).

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

13648102560 is a wasteful number, since it uses less digits than its factorization.

13648102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11548 (or 11534 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13648102560 in words is "thirteen billion, six hundred forty-eight million, one hundred two thousand, five hundred sixty".