11582812340220 has 144 divisors (see below), whose sum is σ = 35994360729600. Its totient is φ = 2780692632960.

The previous prime is 11582812340119. The next prime is 11582812340227. The reversal of 11582812340220 is 2204321828511.

It is a super-3 number, since 3×11582812340220³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582812340227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997020 + ... + 8492579.

It is an arithmetic number, because the mean of its divisors is an integer number (249960838400).

Almost surely, 2^{11582812340220} is an apocalyptic number.

11582812340220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11582812340220 is an abundant number, since it is smaller than the sum of its proper divisors (24411548389380).

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

11582812340220 is a wasteful number, since it uses less digits than its factorization.

11582812340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489736 (or 15489723 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 11582812340220 in words is "eleven trillion, five hundred eighty-two billion, eight hundred twelve million, three hundred forty thousand, two hundred twenty".