509988988080 has 1920 divisors, whose sum is σ = 2277419950080. Its totient is φ = 103514112000.

The previous prime is 509988988079. The next prime is 509988988123. The reversal of 509988988080 is 80889889905.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2116136760 + ... + 2116137000.

It is an arithmetic number, because the mean of its divisors is an integer number (1186156224).

Almost surely, 2^509988988080 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 509988988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138709975040).

509988988080 is an abundant number, since it is smaller than the sum of its proper divisors (1767430962000).

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

509988988080 is a wasteful number, since it uses less digits than its factorization.

509988988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 72.

The spelling of 509988988080 in words is "five hundred nine billion, nine hundred eighty-eight million, nine hundred eighty-eight thousand, eighty".