13568248320 has 320 divisors, whose sum is σ = 49383696384. Its totient is φ = 3145809920.

The previous prime is 13568248307. The next prime is 13568248321. The reversal of 13568248320 is 2384286531.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (13568248321) 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, 1939549 + ... + 1946531.

Almost surely, 2^13568248320 is an apocalyptic number.

13568248320 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 13568248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24691848192).

13568248320 is an abundant number, since it is smaller than the sum of its proper divisors (35815448064).

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

13568248320 is a wasteful number, since it uses less digits than its factorization.

13568248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13568248320 in words is "thirteen billion, five hundred sixty-eight million, two hundred forty-eight thousand, three hundred twenty".