508316497920 has 1728 divisors, whose sum is σ = 2324589321600. Its totient is φ = 105345515520.

The previous prime is 508316497919. The next prime is 508316497963. The reversal of 508316497920 is 29794613805.

508316497920 is a `hidden beast` number, since 50 + 8 + 3 + 16 + 497 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1341204291 + ... + 1341204669.

It is an arithmetic number, because the mean of its divisors is an integer number (1345248450).

It is a 1-persistent number, because it is pandigital, but 2⋅508316497920 = 1016632995840 is not.

Almost surely, 2^508316497920 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 508316497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162294660800).

508316497920 is an abundant number, since it is smaller than the sum of its proper divisors (1816272823680).

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

508316497920 is a wasteful number, since it uses less digits than its factorization.

508316497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 508316497920 in words is "five hundred eight billion, three hundred sixteen million, four hundred ninety-seven thousand, nine hundred twenty".