1606217760160 has 192 divisors, whose sum is σ = 4100018065920. Its totient is φ = 591120322560.

The previous prime is 1606217760137. The next prime is 1606217760187. The reversal of 1606217760160 is 610677126061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573180450 + ... + 1573181470.

It is an arithmetic number, because the mean of its divisors is an integer number (21354260760).

Almost surely, 2^{1606217760160} is an apocalyptic number.

1606217760160 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 1606217760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050009032960).

1606217760160 is an abundant number, since it is smaller than the sum of its proper divisors (2493800305760).

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

1606217760160 is a wasteful number, since it uses less digits than its factorization.

1606217760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 1606217760160 in words is "one trillion, six hundred six billion, two hundred seventeen million, seven hundred sixty thousand, one hundred sixty".