1600455328128 has 256 divisors, whose sum is σ = 4941748224000. Its totient is φ = 509397258240.

The previous prime is 1600455328097. The next prime is 1600455328163. The reversal of 1600455328128 is 8218235540061.

1600455328128 is a `hidden beast` number, since 1 + 60 + 0 + 4 + 553 + 28 + 12 + 8 = 666.

It is a super-2 number, since 2×1600455328128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6539553 + ... + 6779871.

It is an arithmetic number, because the mean of its divisors is an integer number (19303704000).

Almost surely, 2^{1600455328128} is an apocalyptic number.

1600455328128 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 1600455328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470874112000).

1600455328128 is an abundant number, since it is smaller than the sum of its proper divisors (3341292895872).

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

1600455328128 is a wasteful number, since it uses less digits than its factorization.

1600455328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240430 (or 240412 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1600455328128 in words is "one trillion, six hundred billion, four hundred fifty-five million, three hundred twenty-eight thousand, one hundred twenty-eight".