504511856640 has 736 divisors, whose sum is σ = 1981053429120. Its totient is φ = 122305904640.

The previous prime is 504511856627. The next prime is 504511856659. The reversal of 504511856640 is 46658115405.

504511856640 is a `hidden beast` number, since 5 + 0 + 45 + 1 + 1 + 8 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45864714235 + ... + 45864714245.

Almost surely, 2^504511856640 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 504511856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990526714560).

504511856640 is an abundant number, since it is smaller than the sum of its proper divisors (1476541572480).

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

504511856640 is an frugal number, since it uses more digits than its factorization.

504511856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

It can be divided in two parts, 50451 and 1856640, that added together give a palindrome (1907091).

The spelling of 504511856640 in words is "five hundred four billion, five hundred eleven million, eight hundred fifty-six thousand, six hundred forty".