508032051840 has 1024 divisors, whose sum is σ = 1950190387200. Its totient is φ = 126226501632.

The previous prime is 508032051811. The next prime is 508032051841. The reversal of 508032051840 is 48150230805.

It is a happy number.

508032051840 is a `hidden beast` number, since 5 + 0 + 80 + 3 + 20 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 508032051795 and 508032051804.

It is not an unprimeable number, because it can be changed into a prime (508032051841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1384283337 + ... + 1384283703.

It is an arithmetic number, because the mean of its divisors is an integer number (1904482800).

Almost surely, 2^508032051840 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 508032051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975095193600).

508032051840 is an abundant number, since it is smaller than the sum of its proper divisors (1442158335360).

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

508032051840 is an equidigital number, since it uses as much as digits as its factorization.

508032051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 508032051840 in words is "five hundred eight billion, thirty-two million, fifty-one thousand, eight hundred forty".