2005006048600 has 48 divisors (see below), whose sum is σ = 4720647189600. Its totient is φ = 791850483840.

The previous prime is 2005006048583. The next prime is 2005006048681. The reversal of 2005006048600 is 68406005002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63433759 + ... + 63465358.

It is an arithmetic number, because the mean of its divisors is an integer number (98346816450).

Almost surely, 2^{2005006048600} is an apocalyptic number.

2005006048600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005006048600 is an abundant number, since it is smaller than the sum of its proper divisors (2715641141000).

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

2005006048600 is a wasteful number, since it uses less digits than its factorization.

2005006048600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126899212 (or 126899203 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2005006048600 in words is "two trillion, five billion, six million, forty-eight thousand, six hundred".