11584106275720 has 128 divisors (see below), whose sum is σ = 28902194496000. Its totient is φ = 4143488532480.

The previous prime is 11584106275681. The next prime is 11584106275739. The reversal of 11584106275720 is 2757260148511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6791521 + ... + 8324239.

It is an arithmetic number, because the mean of its divisors is an integer number (225798394500).

Almost surely, 2^{11584106275720} is an apocalyptic number.

11584106275720 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 11584106275720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451097248000).

11584106275720 is an abundant number, since it is smaller than the sum of its proper divisors (17318088220280).

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

11584106275720 is a wasteful number, since it uses less digits than its factorization.

11584106275720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533023 (or 1533019 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The spelling of 11584106275720 in words is "eleven trillion, five hundred eighty-four billion, one hundred six million, two hundred seventy-five thousand, seven hundred twenty".