13220742360 has 256 divisors, whose sum is σ = 47215042560. Its totient is φ = 2897879040.

The previous prime is 13220742349. The next prime is 13220742373. The reversal of 13220742360 is 6324702231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2940274 + ... + 2944766.

It is an arithmetic number, because the mean of its divisors is an integer number (184433760).

Almost surely, 2^13220742360 is an apocalyptic number.

13220742360 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 13220742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23607521280).

13220742360 is an abundant number, since it is smaller than the sum of its proper divisors (33994300200).

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

13220742360 is a wasteful number, since it uses less digits than its factorization.

13220742360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 13220742360 in words is "thirteen billion, two hundred twenty million, seven hundred forty-two thousand, three hundred sixty".