11313889768080 has 120 divisors (see below), whose sum is σ = 38057798004408. Its totient is φ = 3012115396608.

The previous prime is 11313889768067. The next prime is 11313889768081. The reversal of 11313889768080 is 8086798831311.

11313889768080 is a `hidden beast` number, since 1 + 1 + 31 + 388 + 9 + 76 + 80 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1229251168656 + 10084638599424 = 1108716^2 + 3175632^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 11313889767999 and 11313889768017.

It is not an unprimeable number, because it can be changed into a prime (11313889768081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12375717 + ... + 13258436.

Almost surely, 2^{11313889768080} is an apocalyptic number.

11313889768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313889768080 is an abundant number, since it is smaller than the sum of its proper divisors (26743908236328).

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

11313889768080 is a wasteful number, since it uses less digits than its factorization.

11313889768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634785 (or 25634776 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 11313889768080 in words is "eleven trillion, three hundred thirteen billion, eight hundred eighty-nine million, seven hundred sixty-eight thousand, eighty".