13358900160 has 224 divisors, whose sum is σ = 48018070080. Its totient is φ = 3495038976.

The previous prime is 13358900129. The next prime is 13358900167. The reversal of 13358900160 is 6100985331.

It is a happy number.

13358900160 is a `hidden beast` number, since 13 + 3 + 589 + 0 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13358900167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443334 + ... + 472506.

Almost surely, 2^13358900160 is an apocalyptic number.

13358900160 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 13358900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009035040).

13358900160 is an abundant number, since it is smaller than the sum of its proper divisors (34659169920).

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

13358900160 is a wasteful number, since it uses less digits than its factorization.

13358900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29252 (or 29236 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13358900160 in words is "thirteen billion, three hundred fifty-eight million, nine hundred thousand, one hundred sixty".