11893751140 has 24 divisors (see below), whose sum is σ = 26446106232. Its totient is φ = 4477647360.

The previous prime is 11893751039. The next prime is 11893751141. The reversal of 11893751140 is 4115739811.

11893751140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 375739456 + 11518011684 = 19384^2 + 107322^2 .

It is a super-2 number, since 2×11893751140² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11893751093 and 11893751102.

It is not an unprimeable number, because it can be changed into a prime (11893751141) 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 7 ways as a sum of consecutive naturals, for example, 17490471 + ... + 17491150.

It is an arithmetic number, because the mean of its divisors is an integer number (1101921093).

Almost surely, 2^11893751140 is an apocalyptic number.

11893751140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11893751140 is an abundant number, since it is smaller than the sum of its proper divisors (14552355092).

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

11893751140 is a wasteful number, since it uses less digits than its factorization.

11893751140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34981647 (or 34981645 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 11893751140 in words is "eleven billion, eight hundred ninety-three million, seven hundred fifty-one thousand, one hundred forty".