505620971800 has 96 divisors (see below), whose sum is σ = 1346569171200. Its totient is φ = 172960663680.

The previous prime is 505620971797. The next prime is 505620971813. The reversal of 505620971800 is 8179026505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203259 + ... + 1025941.

It is an arithmetic number, because the mean of its divisors is an integer number (14026762200).

Almost surely, 2^505620971800 is an apocalyptic number.

505620971800 is a gapful number since it is divisible by the number (50) 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 505620971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673284585600).

505620971800 is an abundant number, since it is smaller than the sum of its proper divisors (840948199400).

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

505620971800 is a wasteful number, since it uses less digits than its factorization.

505620971800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823145 (or 823136 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 505620971800 in words is "five hundred five billion, six hundred twenty million, nine hundred seventy-one thousand, eight hundred".