11198830720 has 384 divisors, whose sum is σ = 34212366720. Its totient is φ = 3430563840.

The previous prime is 11198830681. The next prime is 11198830723. The reversal of 11198830720 is 2703889111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11198830723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39571699 + ... + 39571981.

It is an arithmetic number, because the mean of its divisors is an integer number (89094705).

Almost surely, 2^11198830720 is an apocalyptic number.

11198830720 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 11198830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106183360).

11198830720 is an abundant number, since it is smaller than the sum of its proper divisors (23013536000).

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

11198830720 is a wasteful number, since it uses less digits than its factorization.

11198830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 11198830720 in words is "eleven billion, one hundred ninety-eight million, eight hundred thirty thousand, seven hundred twenty".