13032068400 has 240 divisors, whose sum is σ = 49953087520. Its totient is φ = 3207859200.

The previous prime is 13032068383. The next prime is 13032068429. The reversal of 13032068400 is 486023031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93990 + ... + 186810.

Almost surely, 2^13032068400 is an apocalyptic number.

13032068400 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 13032068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976543760).

13032068400 is an abundant number, since it is smaller than the sum of its proper divisors (36921019120).

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

13032068400 is a wasteful number, since it uses less digits than its factorization.

13032068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92861 (or 92844 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13032068400 in words is "thirteen billion, thirty-two million, sixty-eight thousand, four hundred".