11631350560005 has 192 divisors, whose sum is σ = 23669636320512. Its totient is φ = 5221183979520.

The previous prime is 11631350560003. The next prime is 11631350560007. The reversal of 11631350560005 is 50006505313611.

11631350560005 is a `hidden beast` number, since 1 + 1 + 63 + 1 + 35 + 0 + 560 + 0 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11631350560003) and next prime (11631350560007).

It is not a de Polignac number, because 11631350560005 - 2¹ = 11631350560003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631350560003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162701949 + ... + 162773421.

It is an arithmetic number, because the mean of its divisors is an integer number (123279355836).

Almost surely, 2^{11631350560005} is an apocalyptic number.

11631350560005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11631350560005 is an abundant number, since it is smaller than the sum of its proper divisors (12038285760507).

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

11631350560005 is a wasteful number, since it uses less digits than its factorization.

11631350560005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71828 (or 71825 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 11631350560005 its reverse (50006505313611), we get a palindrome (61637855873616).

The spelling of 11631350560005 in words is "eleven trillion, six hundred thirty-one billion, three hundred fifty million, five hundred sixty thousand, five".