11307072200 has 108 divisors (see below), whose sum is σ = 26915287635. Its totient is φ = 4417562880.

The previous prime is 11307072193. The next prime is 11307072211. The reversal of 11307072200 is 227070311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4819414084 + 6487658116 = 69422^2 + 80546^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75190.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109777349 + ... + 109777451.

Almost surely, 2^11307072200 is an apocalyptic number.

11307072200 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 11307072200

11307072200 is an abundant number, since it is smaller than the sum of its proper divisors (15608215435).

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

11307072200 is an equidigital number, since it uses as much as digits as its factorization.

11307072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 11307072200 in words is "eleven billion, three hundred seven million, seventy-two thousand, two hundred".