11580482934000 has 960 divisors, whose sum is σ = 43452949333248. Its totient is φ = 2867724288000.

The previous prime is 11580482933989. The next prime is 11580482934061. The reversal of 11580482934000 is 43928408511.

11580482934000 is a `hidden beast` number, since 1 + 1 + 5 + 80 + 4 + 82 + 93 + 400 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2128371280 + ... + 2128376720.

Almost surely, 2^{11580482934000} is an apocalyptic number.

11580482934000 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 11580482934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726474666624).

11580482934000 is an abundant number, since it is smaller than the sum of its proper divisors (31872466399248).

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

11580482934000 is a wasteful number, since it uses less digits than its factorization.

11580482934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11580482934000 in words is "eleven trillion, five hundred eighty billion, four hundred eighty-two million, nine hundred thirty-four thousand".