13300822080 has 560 divisors, whose sum is σ = 58242159360. Its totient is φ = 2805829632.

The previous prime is 13300822063. The next prime is 13300822091. The reversal of 13300822080 is 8022800331.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×13300822080³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2355901 + ... + 2361539.

It is an arithmetic number, because the mean of its divisors is an integer number (104003856).

Almost surely, 2^13300822080 is an apocalyptic number.

13300822080 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 13300822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29121079680).

13300822080 is an abundant number, since it is smaller than the sum of its proper divisors (44941337280).

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

13300822080 is a wasteful number, since it uses less digits than its factorization.

13300822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13300822080 in words is "thirteen billion, three hundred million, eight hundred twenty-two thousand, eighty".