11950327775232 has 1920 divisors, whose sum is σ = 46505023488000. Its totient is φ = 2942985830400.

The previous prime is 11950327775153. The next prime is 11950327775233. The reversal of 11950327775232 is 23257772305911.

It is a happy number.

11950327775232 is a `hidden beast` number, since 1 + 1 + 95 + 0 + 3 + 27 + 7 + 7 + 523 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11950327775233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60051898269 + ... + 60051898467.

It is an arithmetic number, because the mean of its divisors is an integer number (24221366400).

Almost surely, 2^{11950327775232} is an apocalyptic number.

11950327775232 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 11950327775232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252511744000).

11950327775232 is an abundant number, since it is smaller than the sum of its proper divisors (34554695712768).

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

11950327775232 is a wasteful number, since it uses less digits than its factorization.

11950327775232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 11950327775232 in words is "eleven trillion, nine hundred fifty billion, three hundred twenty-seven million, seven hundred seventy-five thousand, two hundred thirty-two".