508725434160 has 360 divisors, whose sum is σ = 1749112219296. Its totient is φ = 132481198080.

The previous prime is 508725434153. The next prime is 508725434291. The reversal of 508725434160 is 61434527805.

508725434160 is a `hidden beast` number, since 5 + 0 + 8 + 7 + 2 + 543 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×508725434160² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 824514172 + ... + 824514788.

Almost surely, 2^508725434160 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 508725434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874556109648).

508725434160 is an abundant number, since it is smaller than the sum of its proper divisors (1240386785136).

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

508725434160 is a wasteful number, since it uses less digits than its factorization.

508725434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 508725434160 in words is "five hundred eight billion, seven hundred twenty-five million, four hundred thirty-four thousand, one hundred sixty".