13516552200 has 96 divisors (see below), whose sum is σ = 42022712160. Its totient is φ = 3593971200.

The previous prime is 13516552171. The next prime is 13516552223. The reversal of 13516552200 is 225561531.

It is a happy number.

13516552200 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175740 + ... + 240660.

It is an arithmetic number, because the mean of its divisors is an integer number (437736585).

Almost surely, 2^13516552200 is an apocalyptic number.

13516552200 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 13516552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011356080).

13516552200 is an abundant number, since it is smaller than the sum of its proper divisors (28506159960).

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

13516552200 is a wasteful number, since it uses less digits than its factorization.

13516552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65287 (or 65278 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13516552200 in words is "thirteen billion, five hundred sixteen million, five hundred fifty-two thousand, two hundred".