1600879865760 has 960 divisors, whose sum is σ = 6955103232000. Its totient is φ = 338579232768.

The previous prime is 1600879865743. The next prime is 1600879865771. The reversal of 1600879865760 is 675689780061.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74107441 + ... + 74129039.

It is an arithmetic number, because the mean of its divisors is an integer number (7244899200).

Almost surely, 2^{1600879865760} is an apocalyptic number.

1600879865760 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 1600879865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477551616000).

1600879865760 is an abundant number, since it is smaller than the sum of its proper divisors (5354223366240).

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

1600879865760 is a wasteful number, since it uses less digits than its factorization.

1600879865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1600879865760 in words is "one trillion, six hundred billion, eight hundred seventy-nine million, eight hundred sixty-five thousand, seven hundred sixty".