2005501305420 has 144 divisors (see below), whose sum is σ = 6154075025280. Its totient is φ = 528616654848.

The previous prime is 2005501305373. The next prime is 2005501305421. The reversal of 2005501305420 is 245031055002.

It is a happy number.

2005501305420 is a `hidden beast` number, since 200 + 5 + 5 + 0 + 1 + 30 + 5 + 420 = 666.

It is not an unprimeable number, because it can be changed into a prime (2005501305421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5571261 + ... + 5920299.

It is an arithmetic number, because the mean of its divisors is an integer number (42736632120).

Almost surely, 2^{2005501305420} is an apocalyptic number.

2005501305420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005501305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077037512640).

2005501305420 is an abundant number, since it is smaller than the sum of its proper divisors (4148573719860).

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

2005501305420 is a wasteful number, since it uses less digits than its factorization.

2005501305420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349424 (or 349419 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 2005501305420 in words is "two trillion, five billion, five hundred one million, three hundred five thousand, four hundred twenty".