505420725504 has 576 divisors, whose sum is σ = 1541661327360. Its totient is φ = 146034524160.

The previous prime is 505420725493. The next prime is 505420725577. The reversal of 505420725504 is 405527024505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921751677 + ... + 1921751939.

It is an arithmetic number, because the mean of its divisors is an integer number (2676495360).

Almost surely, 2^505420725504 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 505420725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770830663680).

505420725504 is an abundant number, since it is smaller than the sum of its proper divisors (1036240601856).

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

505420725504 is a wasteful number, since it uses less digits than its factorization.

505420725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 39.

The spelling of 505420725504 in words is "five hundred five billion, four hundred twenty million, seven hundred twenty-five thousand, five hundred four".