13431784320 has 384 divisors, whose sum is σ = 49406760000. Its totient is φ = 3350790144.

The previous prime is 13431784297. The next prime is 13431784321. The reversal of 13431784320 is 2348713431.

13431784320 is a `hidden beast` number, since 13 + 4 + 317 + 8 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13431784321) 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, 22423381 + ... + 22423979.

Almost surely, 2^13431784320 is an apocalyptic number.

13431784320 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 13431784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703380000).

13431784320 is an abundant number, since it is smaller than the sum of its proper divisors (35974975680).

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

13431784320 is a wasteful number, since it uses less digits than its factorization.

13431784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13431784320 in words is "thirteen billion, four hundred thirty-one million, seven hundred eighty-four thousand, three hundred twenty".