13722579360 has 588 divisors, whose sum is σ = 56708278578. Its totient is φ = 3136589568.

The previous prime is 13722579329. The next prime is 13722579371. The reversal of 13722579360 is 6397522731.

13722579360 is a `hidden beast` number, since 1 + 3 + 72 + 2 + 579 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12350321424 + 1372257936 = 111132^2 + 37044^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 1960368477 + ... + 1960368483.

Almost surely, 2^13722579360 is an apocalyptic number.

13722579360 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 13722579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354139289).

13722579360 is an abundant number, since it is smaller than the sum of its proper divisors (42985699218).

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

13722579360 is an frugal number, since it uses more digits than its factorization.

13722579360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 13722579360 in words is "thirteen billion, seven hundred twenty-two million, five hundred seventy-nine thousand, three hundred sixty".