11546604115040 has 96 divisors (see below), whose sum is σ = 27636333701760. Its totient is φ = 4558167244800.

The previous prime is 11546604115027. The next prime is 11546604115043. The reversal of 11546604115040 is 4051140664511.

It is a junction number, because it is equal to n+sod(n) for n = 11546604114985 and 11546604115003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11546604115043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28631600 + ... + 29032080.

It is an arithmetic number, because the mean of its divisors is an integer number (287878476060).

Almost surely, 2^{11546604115040} is an apocalyptic number.

11546604115040 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 11546604115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818166850880).

11546604115040 is an abundant number, since it is smaller than the sum of its proper divisors (16089729586720).

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

11546604115040 is a wasteful number, since it uses less digits than its factorization.

11546604115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402856 (or 402848 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 11546604115040 its reverse (4051140664511), we get a palindrome (15597744779551).

The spelling of 11546604115040 in words is "eleven trillion, five hundred forty-six billion, six hundred four million, one hundred fifteen thousand, forty".