1606110840576 has 1728 divisors, whose sum is σ = 5939747573760. Its totient is φ = 426995712000.

The previous prime is 1606110840563. The next prime is 1606110840613. The reversal of 1606110840576 is 6750480116061.

1606110840576 is a `hidden beast` number, since 1 + 6 + 0 + 61 + 10 + 8 + 4 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12260388031 + ... + 12260388161.

It is an arithmetic number, because the mean of its divisors is an integer number (3437353920).

Almost surely, 2^{1606110840576} is an apocalyptic number.

1606110840576 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 1606110840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969873786880).

1606110840576 is an abundant number, since it is smaller than the sum of its proper divisors (4333636733184).

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

1606110840576 is a wasteful number, since it uses less digits than its factorization.

1606110840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1606110840576 in words is "one trillion, six hundred six billion, one hundred ten million, eight hundred forty thousand, five hundred seventy-six".