13358505160 has 512 divisors, whose sum is σ = 42361159680. Its totient is φ = 3657830400.

The previous prime is 13358505109. The next prime is 13358505203. The reversal of 13358505160 is 6150585331.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105185017 + ... + 105185143.

It is an arithmetic number, because the mean of its divisors is an integer number (82736640).

Almost surely, 2^13358505160 is an apocalyptic number.

13358505160 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 13358505160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180579840).

13358505160 is an abundant number, since it is smaller than the sum of its proper divisors (29002654520).

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

13358505160 is a wasteful number, since it uses less digits than its factorization.

13358505160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 13358505160 in words is "thirteen billion, three hundred fifty-eight million, five hundred five thousand, one hundred sixty".