13161688800 has 288 divisors, whose sum is σ = 47266662240. Its totient is φ = 3160473600.

The previous prime is 13161688783. The next prime is 13161688823. The reversal of 13161688800 is 888616131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274056 + ... + 1284344.

It is an arithmetic number, because the mean of its divisors is an integer number (164120355).

Almost surely, 2^13161688800 is an apocalyptic number.

13161688800 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 13161688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633331120).

13161688800 is an abundant number, since it is smaller than the sum of its proper divisors (34104973440).

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

13161688800 is a wasteful number, since it uses less digits than its factorization.

13161688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 13161688800 in words is "thirteen billion, one hundred sixty-one million, six hundred eighty-eight thousand, eight hundred".