508160234880 has 1152 divisors, whose sum is σ = 2002714308000. Its totient is φ = 121611829248.

The previous prime is 508160234873. The next prime is 508160234893. The reversal of 508160234880 is 88432061805.

508160234880 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 602 + 34 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×508160234880² (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 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, 9587928934 + ... + 9587928986.

Almost surely, 2^508160234880 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 508160234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001357154000).

508160234880 is an abundant number, since it is smaller than the sum of its proper divisors (1494554073120).

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

508160234880 is a wasteful number, since it uses less digits than its factorization.

508160234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 508160234880 in words is "five hundred eight billion, one hundred sixty million, two hundred thirty-four thousand, eight hundred eighty".