11565555140340 has 288 divisors, whose sum is σ = 36380819049120. Its totient is φ = 2971960934400.

The previous prime is 11565555140329. The next prime is 11565555140353. The reversal of 11565555140340 is 4304155556511.

11565555140340 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 55 + 551 + 4 + 0 + 3 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2597854109796 + 8967701030544 = 1611786^2 + 2994612^2 .

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364356870 + ... + 364388610.

It is an arithmetic number, because the mean of its divisors is an integer number (126322288365).

Almost surely, 2^{11565555140340} is an apocalyptic number.

11565555140340 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 11565555140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190409524560).

11565555140340 is an abundant number, since it is smaller than the sum of its proper divisors (24815263908780).

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

11565555140340 is a wasteful number, since it uses less digits than its factorization.

11565555140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32403 (or 32398 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 11565555140340 in words is "eleven trillion, five hundred sixty-five billion, five hundred fifty-five million, one hundred forty thousand, three hundred forty".