13190584320 has 768 divisors, whose sum is σ = 51577344000. Its totient is φ = 3224862720.

The previous prime is 13190584283. The next prime is 13190584321. The reversal of 13190584320 is 2348509131.

13190584320 is a `hidden beast` number, since 131 + 90 + 5 + 8 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13190584321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425502705 + ... + 425502735.

It is an arithmetic number, because the mean of its divisors is an integer number (67158000).

Almost surely, 2^13190584320 is an apocalyptic number.

13190584320 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 13190584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788672000).

13190584320 is an abundant number, since it is smaller than the sum of its proper divisors (38386759680).

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

13190584320 is an frugal number, since it uses more digits than its factorization.

13190584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 131905 and 84320, that added together give a square (216225 = 465²).

The spelling of 13190584320 in words is "thirteen billion, one hundred ninety million, five hundred eighty-four thousand, three hundred twenty".