11179998720 has 480 divisors, whose sum is σ = 43632635904. Its totient is φ = 2621030400.

The previous prime is 11179998719. The next prime is 11179998721. The reversal of 11179998720 is 2789997111.

It is an interprime number because it is at equal distance from previous prime (11179998719) and next prime (11179998721).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11179998721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7855929 + ... + 7857351.

Almost surely, 2^11179998720 is an apocalyptic number.

11179998720 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 11179998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21816317952).

11179998720 is an abundant number, since it is smaller than the sum of its proper divisors (32452637184).

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

11179998720 is a wasteful number, since it uses less digits than its factorization.

11179998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 54.

The spelling of 11179998720 in words is "eleven billion, one hundred seventy-nine million, nine hundred ninety-eight thousand, seven hundred twenty".