2011010564656 has 40 divisors (see below), whose sum is σ = 3925812968000. Its totient is φ = 997902884160.

The previous prime is 2011010564623. The next prime is 2011010564659. The reversal of 2011010564656 is 6564650101102.

It is not an unprimeable number, because it can be changed into a prime (2011010564659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5908195 + ... + 6239293.

It is an arithmetic number, because the mean of its divisors is an integer number (98145324200).

Almost surely, 2^{2011010564656} is an apocalyptic number.

It is an amenable number.

2011010564656 is a deficient number, since it is larger than the sum of its proper divisors (1914802403344).

2011010564656 is a wasteful number, since it uses less digits than its factorization.

2011010564656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333977 (or 333971 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

Adding to 2011010564656 its reverse (6564650101102), we get a palindrome (8575660665758).

The spelling of 2011010564656 in words is "two trillion, eleven billion, ten million, five hundred sixty-four thousand, six hundred fifty-six".