11832516480 has 256 divisors, whose sum is σ = 39583180800. Its totient is φ = 3002572800.

The previous prime is 11832516469. The next prime is 11832516557. The reversal of 11832516480 is 8461523811.

It is a super-4 number, since 4×11832516480⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3629091 + ... + 3632349.

It is an arithmetic number, because the mean of its divisors is an integer number (154621800).

Almost surely, 2^11832516480 is an apocalyptic number.

11832516480 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 11832516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791590400).

11832516480 is an abundant number, since it is smaller than the sum of its proper divisors (27750664320).

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

11832516480 is a wasteful number, since it uses less digits than its factorization.

11832516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11832516480 in words is "eleven billion, eight hundred thirty-two million, five hundred sixteen thousand, four hundred eighty".