505820739936 has 96 divisors (see below), whose sum is σ = 1346669422560. Its totient is φ = 166210596864.

The previous prime is 505820739929. The next prime is 505820739937. The reversal of 505820739936 is 639937028505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505820739937) 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, 14201446 + ... + 14237018.

It is an arithmetic number, because the mean of its divisors is an integer number (14027806485).

Almost surely, 2^505820739936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505820739936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673334711280).

505820739936 is an abundant number, since it is smaller than the sum of its proper divisors (840848682624).

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

505820739936 is a wasteful number, since it uses less digits than its factorization.

505820739936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37688 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 505820739936 in words is "five hundred five billion, eight hundred twenty million, seven hundred thirty-nine thousand, nine hundred thirty-six".