13165785360 has 800 divisors, whose sum is σ = 57168840960. Its totient is φ = 2734166016.

The previous prime is 13165785341. The next prime is 13165785379. The reversal of 13165785360 is 6358756131.

13165785360 is a `hidden beast` number, since 1 + 3 + 16 + 578 + 5 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13165785341) and next prime (13165785379).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48943306 + ... + 48943574.

Almost surely, 2^13165785360 is an apocalyptic number.

13165785360 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 13165785360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28584420480).

13165785360 is an abundant number, since it is smaller than the sum of its proper divisors (44003055600).

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

13165785360 is a wasteful number, since it uses less digits than its factorization.

13165785360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13165785360 in words is "thirteen billion, one hundred sixty-five million, seven hundred eighty-five thousand, three hundred sixty".