1600010000 has 50 divisors (see below), whose sum is σ = 3873808422. Its totient is φ = 640000000.

The previous prime is 1600009993. The next prime is 1600010003. The reversal of 1600010000 is 100061.

It can be written as a sum of positive squares in 5 ways, for example, as 127599616 + 1472410384 = 11296^2 + 38372^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1600010000.

It is not an unprimeable number, because it can be changed into a prime (1600010003) 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 9 ways as a sum of consecutive naturals, for example, 70001 + ... + 90000.

Almost surely, 2^1600010000 is an apocalyptic number.

1600010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600010000 is an abundant number, since it is smaller than the sum of its proper divisors (2273798422).

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

1600010000 is an equidigital number, since it uses as much as digits as its factorization.

1600010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160029 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1600010000 is about 40000.1249998047. The cubic root of 1600010000 is about 1169.6095319615.

Adding to 1600010000 its reverse (100061), we get a palindrome (1600110061).

The spelling of 1600010000 in words is "one billion, six hundred million, ten thousand".