11200094760 has 128 divisors (see below), whose sum is σ = 34513776000. Its totient is φ = 2906029056.

The previous prime is 11200094713. The next prime is 11200094761. The reversal of 11200094760 is 6749000211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11200094761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384006 + ... + 1392074.

It is an arithmetic number, because the mean of its divisors is an integer number (269638875).

Almost surely, 2^11200094760 is an apocalyptic number.

11200094760 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 11200094760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256888000).

11200094760 is an abundant number, since it is smaller than the sum of its proper divisors (23313681240).

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

11200094760 is a wasteful number, since it uses less digits than its factorization.

11200094760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 11200094760 its reverse (6749000211), we get a palindrome (17949094971).

The spelling of 11200094760 in words is "eleven billion, two hundred million, ninety-four thousand, seven hundred sixty".