1659741617008 has 160 divisors (see below), whose sum is σ = 3637383710400. Its totient is φ = 729810321408.

The previous prime is 1659741616999. The next prime is 1659741617057. The reversal of 1659741617008 is 8007161479561.

It is a self number, because there is not a number n which added to its sum of digits gives 1659741617008.

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 31 ways as a sum of consecutive naturals, for example, 36948610 + ... + 36993502.

It is an arithmetic number, because the mean of its divisors is an integer number (22733648190).

Almost surely, 2^{1659741617008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1659741617008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818691855200).

1659741617008 is an abundant number, since it is smaller than the sum of its proper divisors (1977642093392).

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

1659741617008 is a wasteful number, since it uses less digits than its factorization.

1659741617008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099 (or 45093 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 1659741617008 in words is "one trillion, six hundred fifty-nine billion, seven hundred forty-one million, six hundred seventeen thousand, eight".