13789082160 has 720 divisors, whose sum is σ = 57933229536. Its totient is φ = 2920071168.

The previous prime is 13789082141. The next prime is 13789082161. The reversal of 13789082160 is 6128098731.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13789082161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49779942 + ... + 49780218.

Almost surely, 2^13789082160 is an apocalyptic number.

13789082160 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 13789082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28966614768).

13789082160 is an abundant number, since it is smaller than the sum of its proper divisors (44144147376).

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

13789082160 is a wasteful number, since it uses less digits than its factorization.

13789082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13789082160 in words is "thirteen billion, seven hundred eighty-nine million, eighty-two thousand, one hundred sixty".