508819699080 has 960 divisors, whose sum is σ = 2218022231040. Its totient is φ = 102301056000.

The previous prime is 508819699067. The next prime is 508819699081. The reversal of 508819699080 is 80996918805.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 508819698999 and 508819699017.

It is not an unprimeable number, because it can be changed into a prime (508819699081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85069690 + ... + 85075670.

It is an arithmetic number, because the mean of its divisors is an integer number (2310439824).

Almost surely, 2^508819699080 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 508819699080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109011115520).

508819699080 is an abundant number, since it is smaller than the sum of its proper divisors (1709202531960).

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

508819699080 is a wasteful number, since it uses less digits than its factorization.

508819699080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 508819699080 in words is "five hundred eight billion, eight hundred nineteen million, six hundred ninety-nine thousand, eighty".