13032478800000 has 2688 divisors, whose sum is σ = 56436175353600. Its totient is φ = 2961100800000.

The previous prime is 13032478799971. The next prime is 13032478800001. The reversal of 13032478800000 is 887423031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13032478800001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54529199881 + ... + 54529200119.

It is an arithmetic number, because the mean of its divisors is an integer number (20995600950).

Almost surely, 2^{13032478800000} is an apocalyptic number.

13032478800000 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 13032478800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28218087676800).

13032478800000 is an abundant number, since it is smaller than the sum of its proper divisors (43403696553600).

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

13032478800000 is an frugal number, since it uses more digits than its factorization.

13032478800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13032478800000 in words is "thirteen trillion, thirty-two billion, four hundred seventy-eight million, eight hundred thousand".