11461168036080 has 480 divisors, whose sum is σ = 48019251571200. Its totient is φ = 2481816278016.

The previous prime is 11461168036069. The next prime is 11461168036081. The reversal of 11461168036080 is 8063086116411.

11461168036080 is a `hidden beast` number, since 1 + 1 + 461 + 1 + 6 + 80 + 36 + 0 + 80 = 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 (11461168036081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369106 + ... + 4801934.

It is an arithmetic number, because the mean of its divisors is an integer number (100040107440).

Almost surely, 2^{11461168036080} is an apocalyptic number.

11461168036080 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 11461168036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009625785600).

11461168036080 is an abundant number, since it is smaller than the sum of its proper divisors (36558083535120).

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

11461168036080 is a wasteful number, since it uses less digits than its factorization.

11461168036080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432883 (or 4432865 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11461168036080 in words is "eleven trillion, four hundred sixty-one billion, one hundred sixty-eight million, thirty-six thousand, eighty".