11584430161920 has 3600 divisors, whose sum is σ = 54672468238080. Its totient is φ = 2318716108800.

The previous prime is 11584430161859. The next prime is 11584430161921. The reversal of 11584430161920 is 2916103448511.

11584430161920 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 4 + 4 + 3 + 0 + 1 + 619 + 20 = 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 (11584430161921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146638356441 + ... + 146638356519.

Almost surely, 2^{11584430161920} is an apocalyptic number.

11584430161920 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 11584430161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27336234119040).

11584430161920 is an abundant number, since it is smaller than the sum of its proper divisors (43088038076160).

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

11584430161920 is an equidigital number, since it uses as much as digits as its factorization.

11584430161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11584430161920 in words is "eleven trillion, five hundred eighty-four billion, four hundred thirty million, one hundred sixty-one thousand, nine hundred twenty".