11727925979328 has 1008 divisors, whose sum is σ = 40184246784000. Its totient is φ = 3351424647168.

The previous prime is 11727925979327. The next prime is 11727925979351. The reversal of 11727925979328 is 82397952972711.

11727925979328 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 7 + 9 + 2 + 597 + 9 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11727925979327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6667381713 + ... + 6667383471.

Almost surely, 2^{11727925979328} is an apocalyptic number.

11727925979328 is a gapful number since it is divisible by the number (18) 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 11727925979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092123392000).

11727925979328 is an abundant number, since it is smaller than the sum of its proper divisors (28456320804672).

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

11727925979328 is a wasteful number, since it uses less digits than its factorization.

11727925979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1873 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 72.

The spelling of 11727925979328 in words is "eleven trillion, seven hundred twenty-seven billion, nine hundred twenty-five million, nine hundred seventy-nine thousand, three hundred twenty-eight".