11968300624104 has 192 divisors, whose sum is σ = 35863844964480. Its totient is φ = 3575186496000.

The previous prime is 11968300624037. The next prime is 11968300624117. The reversal of 11968300624104 is 40142600386911.

11968300624104 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 8 + 3 + 0 + 0 + 624 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11968300624104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818561914 + ... + 818576534.

It is an arithmetic number, because the mean of its divisors is an integer number (186790859190).

Almost surely, 2^{11968300624104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11968300624104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17931922482240).

11968300624104 is an abundant number, since it is smaller than the sum of its proper divisors (23895544340376).

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

11968300624104 is a wasteful number, since it uses less digits than its factorization.

11968300624104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29272 (or 29265 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11968300624104 in words is "eleven trillion, nine hundred sixty-eight billion, three hundred million, six hundred twenty-four thousand, one hundred four".