11736845191880 has 192 divisors, whose sum is σ = 27672677781840. Its totient is φ = 4479498584064.

The previous prime is 11736845191879. The next prime is 11736845191921. The reversal of 11736845191880 is 8819154863711.

It can be written as a sum of positive squares in 24 ways, for example, as 2330074025764 + 9406771166116 = 1526458^2 + 3067046^2 .

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, 2600672504 + ... + 2600677016.

Almost surely, 2^{11736845191880} is an apocalyptic number.

11736845191880 is a gapful number since it is divisible by the number (10) 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 11736845191880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836338890920).

11736845191880 is an abundant number, since it is smaller than the sum of its proper divisors (15935832589960).

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

11736845191880 is a wasteful number, since it uses less digits than its factorization.

11736845191880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 62.

The spelling of 11736845191880 in words is "eleven trillion, seven hundred thirty-six billion, eight hundred forty-five million, one hundred ninety-one thousand, eight hundred eighty".