11261803716180 has 384 divisors, whose sum is σ = 36178200576000. Its totient is φ = 2943675686016.

The previous prime is 11261803716167. The next prime is 11261803716187. The reversal of 11261803716180 is 8161730816211.

11261803716180 is a `hidden beast` number, since 1 + 1 + 2 + 618 + 0 + 3 + 7 + 16 + 18 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261803716187) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 480297217 + ... + 480320663.

It is an arithmetic number, because the mean of its divisors is an integer number (94214064000).

Almost surely, 2^{11261803716180} is an apocalyptic number.

11261803716180 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 11261803716180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089100288000).

11261803716180 is an abundant number, since it is smaller than the sum of its proper divisors (24916396859820).

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

11261803716180 is a wasteful number, since it uses less digits than its factorization.

11261803716180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23695 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11261803716180 in words is "eleven trillion, two hundred sixty-one billion, eight hundred three million, seven hundred sixteen thousand, one hundred eighty".