11932504852320 has 576 divisors, whose sum is σ = 45498152044800. Its totient is φ = 2935808022528.

The previous prime is 11932504852309. The next prime is 11932504852321. The reversal of 11932504852320 is 2325840523911.

11932504852320 is a `hidden beast` number, since 1 + 1 + 9 + 32 + 50 + 48 + 523 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11932504852321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364178187 + ... + 1364186933.

It is an arithmetic number, because the mean of its divisors is an integer number (78989847300).

Almost surely, 2^{11932504852320} is an apocalyptic number.

11932504852320 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 11932504852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22749076022400).

11932504852320 is an abundant number, since it is smaller than the sum of its proper divisors (33565647192480).

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

11932504852320 is a wasteful number, since it uses less digits than its factorization.

11932504852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11932504852320 in words is "eleven trillion, nine hundred thirty-two billion, five hundred four million, eight hundred fifty-two thousand, three hundred twenty".