11006085936 has 40 divisors (see below), whose sum is σ = 28579730800. Its totient is φ = 3649683456.

The previous prime is 11006085931. The next prime is 11006085949. The reversal of 11006085936 is 63958060011.

It is a super-2 number, since 2×11006085936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006085894 and 11006085903.

It is not an unprimeable number, because it can be changed into a prime (11006085931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584761 + ... + 603288.

It is an arithmetic number, because the mean of its divisors is an integer number (714493270).

Almost surely, 2^11006085936 is an apocalyptic number.

11006085936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11006085936 is an abundant number, since it is smaller than the sum of its proper divisors (17573644864).

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

11006085936 is a wasteful number, since it uses less digits than its factorization.

11006085936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188253 (or 1188247 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 11006085936 in words is "eleven billion, six million, eighty-five thousand, nine hundred thirty-six".