1656105605056 has 112 divisors (see below), whose sum is σ = 3977290406592. Its totient is φ = 667916697600.

The previous prime is 1656105605009. The next prime is 1656105605059. The reversal of 1656105605056 is 6505065016561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1656105604997 and 1656105605015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656105605059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92609236 + ... + 92627116.

Almost surely, 2^{1656105605056} is an apocalyptic number.

1656105605056 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 1656105605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988645203296).

1656105605056 is an abundant number, since it is smaller than the sum of its proper divisors (2321184801536).

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

1656105605056 is a wasteful number, since it uses less digits than its factorization.

1656105605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30078 (or 30068 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 1656105605056 in words is "one trillion, six hundred fifty-six billion, one hundred five million, six hundred five thousand, fifty-six".