508233882780 has 672 divisors, whose sum is σ = 1806836656128. Its totient is φ = 119168755200.

The previous prime is 508233882757. The next prime is 508233882809. The reversal of 508233882780 is 87288332805.

It is a happy number.

508233882780 is a `hidden beast` number, since 508 + 2 + 3 + 38 + 8 + 27 + 80 = 666.

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 223 ways as a sum of consecutive naturals, for example, 393673935 + ... + 393675225.

It is an arithmetic number, because the mean of its divisors is an integer number (2688745024).

Almost surely, 2^508233882780 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 508233882780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903418328064).

508233882780 is an abundant number, since it is smaller than the sum of its proper divisors (1298602773348).

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

508233882780 is a wasteful number, since it uses less digits than its factorization.

508233882780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 508233882780 in words is "five hundred eight billion, two hundred thirty-three million, eight hundred eighty-two thousand, seven hundred eighty".