13310575872 has 288 divisors, whose sum is σ = 40152139776. Its totient is φ = 3879321600.

The previous prime is 13310575843. The next prime is 13310575877. The reversal of 13310575872 is 27857501331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310575877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28748313 + ... + 28748775.

It is an arithmetic number, because the mean of its divisors is an integer number (139417152).

Almost surely, 2^13310575872 is an apocalyptic number.

13310575872 is a gapful number since it is divisible by the number (12) 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 13310575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076069888).

13310575872 is an abundant number, since it is smaller than the sum of its proper divisors (26841563904).

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

13310575872 is a wasteful number, since it uses less digits than its factorization.

13310575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 13310575872 in words is "thirteen billion, three hundred ten million, five hundred seventy-five thousand, eight hundred seventy-two".