1600555248160 has 96 divisors (see below), whose sum is σ = 4126218086592. Its totient is φ = 581857735680.

The previous prime is 1600555248133. The next prime is 1600555248163. The reversal of 1600555248160 is 618425550061.

It is not an unprimeable number, because it can be changed into a prime (1600555248163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6276099 + ... + 6526141.

It is an arithmetic number, because the mean of its divisors is an integer number (42981438402).

Almost surely, 2^{1600555248160} is an apocalyptic number.

1600555248160 is a gapful number since it is divisible by the number (10) 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 1600555248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063109043296).

1600555248160 is an abundant number, since it is smaller than the sum of its proper divisors (2525662838432).

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

1600555248160 is a wasteful number, since it uses less digits than its factorization.

1600555248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253706 (or 253698 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 1600555248160 in words is "one trillion, six hundred billion, five hundred fifty-five million, two hundred forty-eight thousand, one hundred sixty".