11209852957968 has 640 divisors, whose sum is σ = 40247892541440. Its totient is φ = 2917311344640.

The previous prime is 11209852957949. The next prime is 11209852957997. The reversal of 11209852957968 is 86975925890211.

11209852957968 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 9 + 8 + 529 + 5 + 7 + 96 + 8 = 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 = 11209852957896 and 11209852957905.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 120904588 + ... + 120997268.

It is an arithmetic number, because the mean of its divisors is an integer number (62887332096).

Almost surely, 2^{11209852957968} is an apocalyptic number.

11209852957968 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 11209852957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123946270720).

11209852957968 is an abundant number, since it is smaller than the sum of its proper divisors (29038039583472).

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

11209852957968 is a wasteful number, since it uses less digits than its factorization.

11209852957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92812 (or 92800 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 11209852957968 in words is "eleven trillion, two hundred nine billion, eight hundred fifty-two million, nine hundred fifty-seven thousand, nine hundred sixty-eight".