13315825600 has 336 divisors, whose sum is σ = 42270151680. Its totient is φ = 4006195200.

The previous prime is 13315825561. The next prime is 13315825669. The reversal of 13315825600 is 652851331.

It is a super-2 number, since 2×13315825600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3570937 + ... + 3574663.

Almost surely, 2^13315825600 is an apocalyptic number.

13315825600 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 13315825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21135075840).

13315825600 is an abundant number, since it is smaller than the sum of its proper divisors (28954326080).

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

13315825600 is a wasteful number, since it uses less digits than its factorization.

13315825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 13315825600 in words is "thirteen billion, three hundred fifteen million, eight hundred twenty-five thousand, six hundred".