13585862785040 has 1280 divisors, whose sum is σ = 43293997006848. Its totient is φ = 3844238082048.

The previous prime is 13585862785039. The next prime is 13585862785069. The reversal of 13585862785040 is 4058726858531.

It is a super-2 number, since 2×13585862785040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39152342147 + ... + 39152342493.

Almost surely, 2^{13585862785040} is an apocalyptic number.

13585862785040 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 13585862785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646998503424).

13585862785040 is an abundant number, since it is smaller than the sum of its proper divisors (29708134221808).

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

13585862785040 is a wasteful number, since it uses less digits than its factorization.

13585862785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 62.

The spelling of 13585862785040 in words is "thirteen trillion, five hundred eighty-five billion, eight hundred sixty-two million, seven hundred eighty-five thousand, forty".