13253210880 has 1152 divisors, whose sum is σ = 58151374848. Its totient is φ = 2491416576.

The previous prime is 13253210869. The next prime is 13253210881. The reversal of 13253210880 is 8801235231.

13253210880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13253210881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136630992 + ... + 136631088.

It is an arithmetic number, because the mean of its divisors is an integer number (50478624).

Almost surely, 2^13253210880 is an apocalyptic number.

13253210880 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 13253210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29075687424).

13253210880 is an abundant number, since it is smaller than the sum of its proper divisors (44898163968).

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

13253210880 is a wasteful number, since it uses less digits than its factorization.

13253210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13253210880 in words is "thirteen billion, two hundred fifty-three million, two hundred ten thousand, eight hundred eighty".