1601709859008 has 336 divisors, whose sum is σ = 5518338748416. Its totient is φ = 434511267840.

The previous prime is 1601709859007. The next prime is 1601709859063. The reversal of 1601709859008 is 8009589071061.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1601709859007) 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 47 ways as a sum of consecutive naturals, for example, 6503685 + ... + 6745467.

Almost surely, 2^{1601709859008} is an apocalyptic number.

1601709859008 is a gapful number since it is divisible by the number (18) 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 1601709859008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759169374208).

1601709859008 is an abundant number, since it is smaller than the sum of its proper divisors (3916628889408).

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

1601709859008 is a wasteful number, since it uses less digits than its factorization.

1601709859008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241892 (or 241879 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1601709859008 in words is "one trillion, six hundred one billion, seven hundred nine million, eight hundred fifty-nine thousand, eight".