508032778883616 has 3456 divisors, whose sum is σ = 1967530250649600. Its totient is φ = 123219137986560.

The previous prime is 508032778883563. The next prime is 508032778883621. The reversal of 508032778883616 is 616388877230805.

508032778883616 is a `hidden beast` number, since 50 + 80 + 327 + 78 + 88 + 36 + 1 + 6 = 666.

It is a super-2 number, since 2×508032778883616² (a number of 30 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 823391861740 + ... + 823391862356.

It is an arithmetic number, because the mean of its divisors is an integer number (569308521600).

Almost surely, 2^{508032778883616} is an apocalyptic number.

508032778883616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508032778883616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983765125324800).

508032778883616 is an abundant number, since it is smaller than the sum of its proper divisors (1459497471765984).

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

508032778883616 is a wasteful number, since it uses less digits than its factorization.

508032778883616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 508032778883616 in words is "five hundred eight trillion, thirty-two billion, seven hundred seventy-eight million, eight hundred eighty-three thousand, six hundred sixteen".