11006646605640 has 96 divisors (see below), whose sum is σ = 40881830258880. Its totient is φ = 2515804937856.

The previous prime is 11006646605609. The next prime is 11006646605749. The reversal of 11006646605640 is 4650664660011.

It is a happy number.

It is a super-2 number, since 2×11006646605640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2183855934 + ... + 2183860973.

It is an arithmetic number, because the mean of its divisors is an integer number (425852398530).

Almost surely, 2^{11006646605640} is an apocalyptic number.

11006646605640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006646605640 is an abundant number, since it is smaller than the sum of its proper divisors (29875183653240).

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

11006646605640 is a wasteful number, since it uses less digits than its factorization.

11006646605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367716931 (or 4367716924 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 11006 and 646605640, that added together give a palindrome (646616646).

The spelling of 11006646605640 in words is "eleven trillion, six billion, six hundred forty-six million, six hundred five thousand, six hundred forty".