13327488000 has 528 divisors, whose sum is σ = 50214318336. Its totient is φ = 3392716800.

The previous prime is 13327487981. The next prime is 13327488007. The reversal of 13327488000 is 88472331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327488007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26495749 + ... + 26496251.

Almost surely, 2^13327488000 is an apocalyptic number.

13327488000 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 13327488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107159168).

13327488000 is an abundant number, since it is smaller than the sum of its proper divisors (36886830336).

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

13327488000 is a wasteful number, since it uses less digits than its factorization.

13327488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 536 counting only the distinct ones).

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

The spelling of 13327488000 in words is "thirteen billion, three hundred twenty-seven million, four hundred eighty-eight thousand".