11600655661056 has 768 divisors, whose sum is σ = 39578944204800. Its totient is φ = 2933902540800.

The previous prime is 11600655661027. The next prime is 11600655661057. The reversal of 11600655661056 is 65016655600611.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11600655660996 and 11600655661014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11600655661057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8523625816 + ... + 8523627176.

It is an arithmetic number, because the mean of its divisors is an integer number (51535083600).

Almost surely, 2^{11600655661056} is an apocalyptic number.

11600655661056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11600655661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789472102400).

11600655661056 is an abundant number, since it is smaller than the sum of its proper divisors (27978288543744).

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

11600655661056 is a wasteful number, since it uses less digits than its factorization.

11600655661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 11600655661056 in words is "eleven trillion, six hundred billion, six hundred fifty-five million, six hundred sixty-one thousand, fifty-six".