11830389480 has 576 divisors, whose sum is σ = 50283192960. Its totient is φ = 2386492416.

The previous prime is 11830389449. The next prime is 11830389499. The reversal of 11830389480 is 8498303811.

11830389480 is a `hidden beast` number, since 11 + 83 + 0 + 3 + 89 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5273239 + ... + 5275481.

It is an arithmetic number, because the mean of its divisors is an integer number (87297210).

Almost surely, 2^11830389480 is an apocalyptic number.

11830389480 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 11830389480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141596480).

11830389480 is an abundant number, since it is smaller than the sum of its proper divisors (38452803480).

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

11830389480 is a wasteful number, since it uses less digits than its factorization.

11830389480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11830389480 in words is "eleven billion, eight hundred thirty million, three hundred eighty-nine thousand, four hundred eighty".