11031979603968 has 1536 divisors, whose sum is σ = 38423548800000. Its totient is φ = 3112133197824.

The previous prime is 11031979603961. The next prime is 11031979604021. The reversal of 11031979603968 is 86930697913011.

11031979603968 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 19 + 7 + 9 + 603 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031979603961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186982705123 + ... + 186982705181.

It is an arithmetic number, because the mean of its divisors is an integer number (25015331250).

Almost surely, 2^{11031979603968} is an apocalyptic number.

11031979603968 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 11031979603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211774400000).

11031979603968 is an abundant number, since it is smaller than the sum of its proper divisors (27391569196032).

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

11031979603968 is an equidigital number, since it uses as much as digits as its factorization.

11031979603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 11031979603968 in words is "eleven trillion, thirty-one billion, nine hundred seventy-nine million, six hundred three thousand, nine hundred sixty-eight".