11985178752 has 192 divisors, whose sum is σ = 35163928800. Its totient is φ = 3917611008.

The previous prime is 11985178729. The next prime is 11985178759. The reversal of 11985178752 is 25787158911.

11985178752 is a `hidden beast` number, since 119 + 8 + 517 + 8 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11985178759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15585024 + ... + 15585792.

Almost surely, 2^11985178752 is an apocalyptic number.

11985178752 is a gapful number since it is divisible by the number (12) 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 11985178752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581964400).

11985178752 is an abundant number, since it is smaller than the sum of its proper divisors (23178750048).

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

11985178752 is a wasteful number, since it uses less digits than its factorization.

11985178752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 54.

The spelling of 11985178752 in words is "eleven billion, nine hundred eighty-five million, one hundred seventy-eight thousand, seven hundred fifty-two".