11287242508005 has 64 divisors (see below), whose sum is σ = 20495292825600. Its totient is φ = 5891164292160.

The previous prime is 11287242508001. The next prime is 11287242508019. The reversal of 11287242508005 is 50080524278211.

11287242508005 is a `hidden beast` number, since 1 + 1 + 287 + 242 + 50 + 80 + 0 + 5 = 666.

It is not a de Polignac number, because 11287242508005 - 2² = 11287242508001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287242508001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64066326 + ... + 64242264.

It is an arithmetic number, because the mean of its divisors is an integer number (320238950400).

Almost surely, 2^{11287242508005} is an apocalyptic number.

11287242508005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11287242508005 is a deficient number, since it is larger than the sum of its proper divisors (9208050317595).

11287242508005 is a wasteful number, since it uses less digits than its factorization.

11287242508005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186111 (or 186105 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 11287242508005 in words is "eleven trillion, two hundred eighty-seven billion, two hundred forty-two million, five hundred eight thousand, five".