505805758000 has 80 divisors (see below), whose sum is σ = 1239792630336. Its totient is φ = 199550707200.

The previous prime is 505805757953. The next prime is 505805758009. The reversal of 505805758000 is 857508505.

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

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (505805758009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586212 + ... + 1878211.

Almost surely, 2^505805758000 is an apocalyptic number.

505805758000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505805758000 is an abundant number, since it is smaller than the sum of its proper divisors (733986872336).

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

505805758000 is a wasteful number, since it uses less digits than its factorization.

505805758000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464519 (or 3464503 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 43.

The spelling of 505805758000 in words is "five hundred five billion, eight hundred five million, seven hundred fifty-eight thousand".