2005721100075 has 144 divisors (see below), whose sum is σ = 4429705587840. Its totient is φ = 789675264000.

The previous prime is 2005721100059. The next prime is 2005721100109. The reversal of 2005721100075 is 5700011275002.

It is not a de Polignac number, because 2005721100075 - 2⁴ = 2005721100059 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 537606 + ... + 2073755.

It is an arithmetic number, because the mean of its divisors is an integer number (30761844360).

Almost surely, 2^{2005721100075} is an apocalyptic number.

2005721100075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005721100075 is an abundant number, since it is smaller than the sum of its proper divisors (2423984487765).

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

2005721100075 is a wasteful number, since it uses less digits than its factorization.

2005721100075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611418 (or 2611406 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

Adding to 2005721100075 its reverse (5700011275002), we get a palindrome (7705732375077).

The spelling of 2005721100075 in words is "two trillion, five billion, seven hundred twenty-one million, one hundred thousand, seventy-five".