13288576560 has 240 divisors, whose sum is σ = 49467405312. Its totient is φ = 2939328000.

The previous prime is 13288576559. The next prime is 13288576579. The reversal of 13288576560 is 6567588231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346335 + ... + 382785.

Almost surely, 2^13288576560 is an apocalyptic number.

13288576560 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 13288576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24733702656).

13288576560 is an abundant number, since it is smaller than the sum of its proper divisors (36178828752).

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

13288576560 is a wasteful number, since it uses less digits than its factorization.

13288576560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36512 (or 36499 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 13288576560 in words is "thirteen billion, two hundred eighty-eight million, five hundred seventy-six thousand, five hundred sixty".