13580869050 has 672 divisors, whose sum is σ = 47776656384. Its totient is φ = 2799360000.

The previous prime is 13580869013. The next prime is 13580869063. The reversal of 13580869050 is 5096808531.

13580869050 is a `hidden beast` number, since 1 + 3 + 580 + 8 + 69 + 0 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13580868987 and 13580869005.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 134464000 + ... + 134464100.

Almost surely, 2^13580869050 is an apocalyptic number.

13580869050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580869050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888328192).

13580869050 is an abundant number, since it is smaller than the sum of its proper divisors (34195787334).

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

13580869050 is a wasteful number, since it uses less digits than its factorization.

13580869050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 13580869050 in words is "thirteen billion, five hundred eighty million, eight hundred sixty-nine thousand, fifty".