505600606000 has 80 divisors (see below), whose sum is σ = 1397191199040. Its totient is φ = 173348774400.

The previous prime is 505600605959. The next prime is 505600606019. The reversal of 505600606000 is 606006505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 505600606000.

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, 18043165 + ... + 18071164.

It is an arithmetic number, because the mean of its divisors is an integer number (17464889988).

Almost surely, 2^505600606000 is an apocalyptic number.

505600606000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505600606000 is an abundant number, since it is smaller than the sum of its proper divisors (891590593040).

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

505600606000 is a wasteful number, since it uses less digits than its factorization.

505600606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36114359 (or 36114343 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 505600606000 in words is "five hundred five billion, six hundred million, six hundred six thousand".