504739988928 has 1008 divisors, whose sum is σ = 1858356724224. Its totient is φ = 132995727360.

The previous prime is 504739988891. The next prime is 504739988941. The reversal of 504739988928 is 829889937405.

504739988928 is a `hidden beast` number, since 50 + 473 + 9 + 9 + 8 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1919163325 + ... + 1919163587.

Almost surely, 2^504739988928 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 504739988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929178362112).

504739988928 is an abundant number, since it is smaller than the sum of its proper divisors (1353616735296).

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

504739988928 is a wasteful number, since it uses less digits than its factorization.

504739988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 504739988928 in words is "five hundred four billion, seven hundred thirty-nine million, nine hundred eighty-eight thousand, nine hundred twenty-eight".