11005407206064 has 60 divisors (see below), whose sum is σ = 30814599558600. Its totient is φ = 3666712879872.

The previous prime is 11005407206039. The next prime is 11005407206159. The reversal of 11005407206064 is 46060270450011.

11005407206064 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 40 + 7 + 2 + 0 + 606 + 4 = 666.

It is a super-2 number, since 2×11005407206064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17991774 + ... + 18593405.

It is an arithmetic number, because the mean of its divisors is an integer number (513576659310).

Almost surely, 2^{11005407206064} is an apocalyptic number.

It is an amenable number.

11005407206064 is an abundant number, since it is smaller than the sum of its proper divisors (19809192352536).

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

11005407206064 is a wasteful number, since it uses less digits than its factorization.

11005407206064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36587282 (or 36587273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 11005407206064 its reverse (46060270450011), we get a palindrome (57065677656075).

The spelling of 11005407206064 in words is "eleven trillion, five billion, four hundred seven million, two hundred six thousand, sixty-four".