11656561101000 has 128 divisors (see below), whose sum is σ = 36743404239360. Its totient is φ = 3076370688000.

The previous prime is 11656561100981. The next prime is 11656561101001. The reversal of 11656561101000 is 10116565611.

It is not an unprimeable number, because it can be changed into a prime (11656561101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19737456 + ... + 20319455.

It is an arithmetic number, because the mean of its divisors is an integer number (287057845620).

Almost surely, 2^{11656561101000} is an apocalyptic number.

11656561101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11656561101000 is an abundant number, since it is smaller than the sum of its proper divisors (25086843138360).

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

11656561101000 is a wasteful number, since it uses less digits than its factorization.

11656561101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40057032 (or 40057018 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 11656561101000 its reverse (10116565611), we get a palindrome (11666677666611).

The spelling of 11656561101000 in words is "eleven trillion, six hundred fifty-six billion, five hundred sixty-one million, one hundred one thousand".