1600136641728 has 224 divisors, whose sum is σ = 4933572779520. Its totient is φ = 507596221440.

The previous prime is 1600136641717. The next prime is 1600136641769. The reversal of 1600136641728 is 8271466310061.

1600136641728 is a `hidden beast` number, since 1 + 600 + 1 + 3 + 6 + 6 + 4 + 17 + 28 = 666.

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, 7727383 + ... + 7931753.

It is an arithmetic number, because the mean of its divisors is an integer number (22024878480).

Almost surely, 2^{1600136641728} is an apocalyptic number.

1600136641728 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 1600136641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466786389760).

1600136641728 is an abundant number, since it is smaller than the sum of its proper divisors (3333436137792).

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

1600136641728 is a wasteful number, since it uses less digits than its factorization.

1600136641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204612 (or 204596 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1600136641728 in words is "one trillion, six hundred billion, one hundred thirty-six million, six hundred forty-one thousand, seven hundred twenty-eight".