11820032952 has 384 divisors, whose sum is σ = 39395811840. Its totient is φ = 2876497920.

The previous prime is 11820032911. The next prime is 11820032957. The reversal of 11820032952 is 25923002811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820032957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38501583 + ... + 38501889.

It is an arithmetic number, because the mean of its divisors is an integer number (102593260).

Almost surely, 2^11820032952 is an apocalyptic number.

11820032952 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 11820032952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697905920).

11820032952 is an abundant number, since it is smaller than the sum of its proper divisors (27575778888).

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

11820032952 is a wasteful number, since it uses less digits than its factorization.

11820032952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11820032952 in words is "eleven billion, eight hundred twenty million, thirty-two thousand, nine hundred fifty-two".