13068034560 has 480 divisors, whose sum is σ = 53657315712. Its totient is φ = 2985984000.

The previous prime is 13068034547. The next prime is 13068034571. The reversal of 13068034560 is 6543086031.

13068034560 is a `hidden beast` number, since 1 + 3 + 0 + 68 + 0 + 34 + 560 = 666.

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

It is a super-2 number, since 2×13068034560² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4353060 + ... + 4356060.

Almost surely, 2^13068034560 is an apocalyptic number.

13068034560 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 13068034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828657856).

13068034560 is an abundant number, since it is smaller than the sum of its proper divisors (40589281152).

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

13068034560 is an frugal number, since it uses more digits than its factorization.

13068034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13068034560 in words is "thirteen billion, sixty-eight million, thirty-four thousand, five hundred sixty".