1606642126000 has 80 divisors (see below), whose sum is σ = 3886212927168. Its totient is φ = 642433152000.

The previous prime is 1606642125989. The next prime is 1606642126003. The reversal of 1606642126000 is 6212466061.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1606642126003) by changing a digit.

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, 5667640 + ... + 5944360.

Almost surely, 2^{1606642126000} is an apocalyptic number.

1606642126000 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 1606642126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943106463584).

1606642126000 is an abundant number, since it is smaller than the sum of its proper divisors (2279570801168).

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

1606642126000 is a wasteful number, since it uses less digits than its factorization.

1606642126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279647 (or 279631 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1606642126000 in words is "one trillion, six hundred six billion, six hundred forty-two million, one hundred twenty-six thousand".