13585038240 has 96 divisors (see below), whose sum is σ = 44173334016. Its totient is φ = 3505812480.

The previous prime is 13585038227. The next prime is 13585038241. The reversal of 13585038240 is 4283058531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13585038241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441607 + ... + 471366.

It is an arithmetic number, because the mean of its divisors is an integer number (460138896).

Almost surely, 2^13585038240 is an apocalyptic number.

13585038240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585038240 is an abundant number, since it is smaller than the sum of its proper divisors (30588295776).

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

13585038240 is a wasteful number, since it uses less digits than its factorization.

13585038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913022 (or 913014 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 13585038240 in words is "thirteen billion, five hundred eighty-five million, thirty-eight thousand, two hundred forty".