11006535561564 has 96 divisors (see below), whose sum is σ = 27153655603200. Its totient is φ = 3465206297280.

The previous prime is 11006535561509. The next prime is 11006535561583. The reversal of 11006535561564 is 46516553560011.

It is a happy number.

It is a super-2 number, since 2×11006535561564² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1246879 + ... + 4854665.

It is an arithmetic number, because the mean of its divisors is an integer number (282850579200).

Almost surely, 2^{11006535561564} is an apocalyptic number.

It is an amenable number.

11006535561564 is an abundant number, since it is smaller than the sum of its proper divisors (16147120041636).

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

11006535561564 is a wasteful number, since it uses less digits than its factorization.

11006535561564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608023 (or 3608021 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 11006535561564 in words is "eleven trillion, six billion, five hundred thirty-five million, five hundred sixty-one thousand, five hundred sixty-four".