508271984640 has 1088 divisors, whose sum is σ = 2144111846400. Its totient is φ = 111774007296.

The previous prime is 508271984639. The next prime is 508271984641. The reversal of 508271984640 is 46489172805.

It is a happy number.

508271984640 is a `hidden beast` number, since 508 + 2 + 7 + 1 + 98 + 4 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (508271984639) and next prime (508271984641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508271984641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796013939 + ... + 1796014221.

Almost surely, 2^508271984640 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 508271984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072055923200).

508271984640 is an abundant number, since it is smaller than the sum of its proper divisors (1635839861760).

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

508271984640 is an equidigital number, since it uses as much as digits as its factorization.

508271984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 508271984640 in words is "five hundred eight billion, two hundred seventy-one million, nine hundred eighty-four thousand, six hundred forty".