1600959904128 has 320 divisors, whose sum is σ = 5167899013200. Its totient is φ = 489053417472.

The previous prime is 1600959904031. The next prime is 1600959904129. The reversal of 1600959904128 is 8214099590061.

1600959904128 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 9 + 599 + 0 + 41 + 2 + 8 = 666.

It is a super-2 number, since 2×1600959904128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600959904129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18692250 + ... + 18777702.

Almost surely, 2^{1600959904128} is an apocalyptic number.

1600959904128 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 1600959904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583949506600).

1600959904128 is an abundant number, since it is smaller than the sum of its proper divisors (3566939109072).

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

1600959904128 is a wasteful number, since it uses less digits than its factorization.

1600959904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85631 (or 85610 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1600959904128 in words is "one trillion, six hundred billion, nine hundred fifty-nine million, nine hundred four thousand, one hundred twenty-eight".