2005500540141 has 64 divisors (see below), whose sum is σ = 3505470259200. Its totient is φ = 1108912420800.

The previous prime is 2005500540139. The next prime is 2005500540163. The reversal of 2005500540141 is 1410450055002.

2005500540141 is a `hidden beast` number, since 20 + 0 + 550 + 0 + 54 + 0 + 1 + 41 = 666.

It is not a de Polignac number, because 2005500540141 - 2¹ = 2005500540139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005500540191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101591050 + ... + 101610788.

It is an arithmetic number, because the mean of its divisors is an integer number (54772972800).

Almost surely, 2^{2005500540141} is an apocalyptic number.

2005500540141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2005500540141 is a deficient number, since it is larger than the sum of its proper divisors (1499969719059).

2005500540141 is a wasteful number, since it uses less digits than its factorization.

2005500540141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37127 (or 37121 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 2005500540141 its reverse (1410450055002), we get a palindrome (3415950595143).

The spelling of 2005500540141 in words is "two trillion, five billion, five hundred million, five hundred forty thousand, one hundred forty-one".