13616232960 has 640 divisors, whose sum is σ = 53032320000. Its totient is φ = 2937323520.

The previous prime is 13616232953. The next prime is 13616232961. The reversal of 13616232960 is 6923261631.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (13616232961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27286791 + ... + 27287289.

It is an arithmetic number, because the mean of its divisors is an integer number (82863000).

Almost surely, 2^13616232960 is an apocalyptic number.

13616232960 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 13616232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160000).

13616232960 is an abundant number, since it is smaller than the sum of its proper divisors (39416087040).

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

13616232960 is a wasteful number, since it uses less digits than its factorization.

13616232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 13616232960 in words is "thirteen billion, six hundred sixteen million, two hundred thirty-two thousand, nine hundred sixty".