13587041160 has 768 divisors, whose sum is σ = 58291384320. Its totient is φ = 2661120000.

The previous prime is 13587041159. The next prime is 13587041207. The reversal of 13587041160 is 6114078531.

13587041160 is a `hidden beast` number, since 1 + 3 + 587 + 0 + 4 + 11 + 60 = 666.

13587041160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13587041160⁴ (a number of 42 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64393455 + ... + 64393665.

It is an arithmetic number, because the mean of its divisors is an integer number (75900240).

Almost surely, 2^13587041160 is an apocalyptic number.

13587041160 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 13587041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29145692160).

13587041160 is an abundant number, since it is smaller than the sum of its proper divisors (44704343160).

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

13587041160 is a wasteful number, since it uses less digits than its factorization.

13587041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13587041160 in words is "thirteen billion, five hundred eighty-seven million, forty-one thousand, one hundred sixty".