2001218800075 has 48 divisors (see below), whose sum is σ = 2751988361472. Its totient is φ = 1431308880000.

The previous prime is 2001218800037. The next prime is 2001218800121. The reversal of 2001218800075 is 5700088121002.

It is not a de Polignac number, because 2001218800075 - 2⁹ = 2001218799563 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001218800075.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165781290 + ... + 165793360.

It is an arithmetic number, because the mean of its divisors is an integer number (57333090864).

Almost surely, 2^{2001218800075} is an apocalyptic number.

2001218800075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2001218800075 is a deficient number, since it is larger than the sum of its proper divisors (750769561397).

2001218800075 is a wasteful number, since it uses less digits than its factorization.

2001218800075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22036 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 2001218800075 in words is "two trillion, one billion, two hundred eighteen million, eight hundred thousand, seventy-five".