11542560586440 has 384 divisors, whose sum is σ = 41068587651840. Its totient is φ = 2574672832512.

The previous prime is 11542560586433. The next prime is 11542560586451. The reversal of 11542560586440 is 4468506524511.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12507114 + ... + 13398246.

It is an arithmetic number, because the mean of its divisors is an integer number (106949447010).

Almost surely, 2^{11542560586440} is an apocalyptic number.

11542560586440 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 11542560586440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534293825920).

11542560586440 is an abundant number, since it is smaller than the sum of its proper divisors (29526027065400).

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

11542560586440 is a wasteful number, since it uses less digits than its factorization.

11542560586440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891221 (or 891198 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 11542560586440 in words is "eleven trillion, five hundred forty-two billion, five hundred sixty million, five hundred eighty-six thousand, four hundred forty".