13191984000 has 1024 divisors, whose sum is σ = 54800928000. Its totient is φ = 3135283200.

The previous prime is 13191983953. The next prime is 13191984011. The reversal of 13191984000 is 48919131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454895986 + ... + 454896014.

Almost surely, 2^13191984000 is an apocalyptic number.

13191984000 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 13191984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27400464000).

13191984000 is an abundant number, since it is smaller than the sum of its proper divisors (41608944000).

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

13191984000 is an frugal number, since it uses more digits than its factorization.

13191984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13191984000 in words is "thirteen billion, one hundred ninety-one million, nine hundred eighty-four thousand".