1606277661056 has 128 divisors (see below), whose sum is σ = 3390131404800. Its totient is φ = 756847429632.

The previous prime is 1606277661041. The next prime is 1606277661061. The reversal of 1606277661056 is 6501667726061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1606277660989 and 1606277661007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64015745 + ... + 64040831.

It is an arithmetic number, because the mean of its divisors is an integer number (26485401600).

Almost surely, 2^{1606277661056} is an apocalyptic number.

1606277661056 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 1606277661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695065702400).

1606277661056 is an abundant number, since it is smaller than the sum of its proper divisors (1783853743744).

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

1606277661056 is a wasteful number, since it uses less digits than its factorization.

1606277661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25532 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 1606277661056 in words is "one trillion, six hundred six billion, two hundred seventy-seven million, six hundred sixty-one thousand, fifty-six".