2005153465420 has 48 divisors (see below), whose sum is σ = 4924283874048. Its totient is φ = 671493251520.

The previous prime is 2005153465387. The next prime is 2005153465457. The reversal of 2005153465420 is 245643515002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005153465420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166534966 + ... + 166547005.

It is an arithmetic number, because the mean of its divisors is an integer number (102589247376).

Almost surely, 2^{2005153465420} is an apocalyptic number.

2005153465420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005153465420 is an abundant number, since it is smaller than the sum of its proper divisors (2919130408628).

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

2005153465420 is a wasteful number, since it uses less digits than its factorization.

2005153465420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333082030 (or 333082028 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 2005153465420 in words is "two trillion, five billion, one hundred fifty-three million, four hundred sixty-five thousand, four hundred twenty".