11801830884480 has 4608 divisors, whose sum is σ = 57211099545600. Its totient is φ = 2212255825920.

The previous prime is 11801830884469. The next prime is 11801830884539. The reversal of 11801830884480 is 8448803810811.

11801830884480 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 1 + 83 + 0 + 8 + 84 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92927802177 + ... + 92927802303.

It is an arithmetic number, because the mean of its divisors is an integer number (12415603200).

Almost surely, 2^{11801830884480} is an apocalyptic number.

11801830884480 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 11801830884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605549772800).

11801830884480 is an abundant number, since it is smaller than the sum of its proper divisors (45409268661120).

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

11801830884480 is a wasteful number, since it uses less digits than its factorization.

11801830884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 11801830884480 in words is "eleven trillion, eight hundred one billion, eight hundred thirty million, eight hundred eighty-four thousand, four hundred eighty".