1600008000800 has 72 divisors (see below), whose sum is σ = 4261112240112. Its totient is φ = 581821088000.

The previous prime is 1600008000779. The next prime is 1600008000803. The reversal of 1600008000800 is 80008000061.

1600008000800 is a modest number, since divided by 8000800 gives 16000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1600008000803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90900746 + ... + 90918345.

It is an arithmetic number, because the mean of its divisors is an integer number (59182114446).

Almost surely, 2^{1600008000800} is an apocalyptic number.

1600008000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600008000800 is an abundant number, since it is smaller than the sum of its proper divisors (2661104239312).

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

1600008000800 is a wasteful number, since it uses less digits than its factorization.

1600008000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181819122 (or 181819109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 1600008000800 in words is "one trillion, six hundred billion, eight million, eight hundred", and thus it is an aban number.