11983932576 has 288 divisors, whose sum is σ = 42740006400. Its totient is φ = 3094295040.

The previous prime is 11983932557. The next prime is 11983932589. The reversal of 11983932576 is 67523938911.

11983932576 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 39 + 32 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11983932576² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 3967995 + ... + 3971013.

It is an arithmetic number, because the mean of its divisors is an integer number (148402800).

Almost surely, 2^11983932576 is an apocalyptic number.

11983932576 is a gapful number since it is divisible by the number (16) 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 11983932576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370003200).

11983932576 is an abundant number, since it is smaller than the sum of its proper divisors (30756073824).

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

11983932576 is a wasteful number, since it uses less digits than its factorization.

11983932576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3221 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 11983932576 in words is "eleven billion, nine hundred eighty-three million, nine hundred thirty-two thousand, five hundred seventy-six".