11427876200 has 96 divisors (see below), whose sum is σ = 28662462360. Its totient is φ = 4212326400.

The previous prime is 11427876197. The next prime is 11427876223. The reversal of 11427876200 is 267872411.

It can be written as a sum of positive squares in 12 ways, for example, as 41705764 + 11386170436 = 6458^2 + 106706^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1663172 + ... + 1670028.

Almost surely, 2^11427876200 is an apocalyptic number.

11427876200 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 11427876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331231180).

11427876200 is an abundant number, since it is smaller than the sum of its proper divisors (17234586160).

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

11427876200 is a wasteful number, since it uses less digits than its factorization.

11427876200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 11427876200 in words is "eleven billion, four hundred twenty-seven million, eight hundred seventy-six thousand, two hundred".