11582645528320 has 288 divisors, whose sum is σ = 30520147230720. Its totient is φ = 4197401640960.

The previous prime is 11582645528189. The next prime is 11582645528323. The reversal of 11582645528320 is 2382554628511.

It is a super-2 number, since 2×11582645528320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582645528323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42759066 + ... + 43029094.

It is an arithmetic number, because the mean of its divisors is an integer number (105972733440).

Almost surely, 2^{11582645528320} is an apocalyptic number.

11582645528320 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 11582645528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260073615360).

11582645528320 is an abundant number, since it is smaller than the sum of its proper divisors (18937501702400).

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

11582645528320 is a wasteful number, since it uses less digits than its factorization.

11582645528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270151 (or 270137 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 11582645528320 in words is "eleven trillion, five hundred eighty-two billion, six hundred forty-five million, five hundred twenty-eight thousand, three hundred twenty".