11799532723968 has 432 divisors, whose sum is σ = 38525036239872. Its totient is φ = 3442148352000.

The previous prime is 11799532723967. The next prime is 11799532724003. The reversal of 11799532723968 is 86932723599711.

11799532723968 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 9 + 5 + 327 + 239 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11799532723896 and 11799532723905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11799532723967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72580053 + ... + 72742443.

Almost surely, 2^{11799532723968} is an apocalyptic number.

11799532723968 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 11799532723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262518119936).

11799532723968 is an abundant number, since it is smaller than the sum of its proper divisors (26725503515904).

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

11799532723968 is a wasteful number, since it uses less digits than its factorization.

11799532723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162532 (or 162515 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 11799532723968 in words is "eleven trillion, seven hundred ninety-nine billion, five hundred thirty-two million, seven hundred twenty-three thousand, nine hundred sixty-eight".