13585166503200 has 216 divisors, whose sum is σ = 47909772984528. Its totient is φ = 3622326935040.

The previous prime is 13585166503193. The next prime is 13585166503319. The reversal of 13585166503200 is 230566158531.

13585166503200 is a `hidden beast` number, since 1 + 3 + 5 + 85 + 1 + 66 + 503 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×13585166503200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71350527 + ... + 71540673.

It is an arithmetic number, because the mean of its divisors is an integer number (221804504558).

Almost surely, 2^{13585166503200} is an apocalyptic number.

13585166503200 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 13585166503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954886492264).

13585166503200 is an abundant number, since it is smaller than the sum of its proper divisors (34324606481328).

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

13585166503200 is a wasteful number, since it uses less digits than its factorization.

13585166503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200096 (or 200080 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13585166503200 in words is "thirteen trillion, five hundred eighty-five billion, one hundred sixty-six million, five hundred three thousand, two hundred".