11131185887640 has 192 divisors, whose sum is σ = 44524743681600. Its totient is φ = 2348557894656.

The previous prime is 11131185887603. The next prime is 11131185887663. The reversal of 11131185887640 is 4678858113111.

11131185887640 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 18 + 588 + 7 + 6 + 40 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 169857135 + ... + 169922654.

It is an arithmetic number, because the mean of its divisors is an integer number (231899706675).

Almost surely, 2^{11131185887640} is an apocalyptic number.

11131185887640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131185887640 is an abundant number, since it is smaller than the sum of its proper divisors (33393557793960).

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

11131185887640 is a wasteful number, since it uses less digits than its factorization.

11131185887640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339779826 (or 339779819 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 11131185887640 in words is "eleven trillion, one hundred thirty-one billion, one hundred eighty-five million, eight hundred eighty-seven thousand, six hundred forty".