13799140320 has 384 divisors, whose sum is σ = 51253171200. Its totient is φ = 3055288320.

The previous prime is 13799140309. The next prime is 13799140331. The reversal of 13799140320 is 2304199731.

It is an interprime number because it is at equal distance from previous prime (13799140309) and next prime (13799140331).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21527200 + ... + 21527840.

It is an arithmetic number, because the mean of its divisors is an integer number (133471800).

Almost surely, 2^13799140320 is an apocalyptic number.

13799140320 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 13799140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25626585600).

13799140320 is an abundant number, since it is smaller than the sum of its proper divisors (37454030880).

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

13799140320 is a wasteful number, since it uses less digits than its factorization.

13799140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 13799140320 in words is "thirteen billion, seven hundred ninety-nine million, one hundred forty thousand, three hundred twenty".