13789258560 has 1344 divisors, whose sum is σ = 63905587200. Its totient is φ = 2804336640.

The previous prime is 13789258541. The next prime is 13789258579. The reversal of 13789258560 is 6585298731.

13789258560 is a `hidden beast` number, since 1 + 3 + 78 + 9 + 2 + 5 + 8 + 560 = 666.

13789258560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13789258541) and next prime (13789258579).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13789258497 and 13789258506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293388457 + ... + 293388503.

It is an arithmetic number, because the mean of its divisors is an integer number (47548800).

Almost surely, 2^13789258560 is an apocalyptic number.

13789258560 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 13789258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952793600).

13789258560 is an abundant number, since it is smaller than the sum of its proper divisors (50116328640).

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

13789258560 is an equidigital number, since it uses as much as digits as its factorization.

13789258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 13789258560 in words is "thirteen billion, seven hundred eighty-nine million, two hundred fifty-eight thousand, five hundred sixty".