516038880 has 192 divisors, whose sum is σ = 1867235328. Its totient is φ = 117350400.

The previous prime is 516038869. The next prime is 516038953. The reversal of 516038880 is 88830615.

It is a happy number.

It is a super-2 number, since 2×516038880² = 532592251343308800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286680 + ... + 1287080.

It is an arithmetic number, because the mean of its divisors is an integer number (9725184).

Almost surely, 2^516038880 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 516038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933617664).

516038880 is an abundant number, since it is smaller than the sum of its proper divisors (1351196448).

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

516038880 is a wasteful number, since it uses less digits than its factorization.

516038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 516038880 is about 22716.4891653618. The cubic root of 516038880 is about 802.0980761189.

The spelling of 516038880 in words is "five hundred sixteen million, thirty-eight thousand, eight hundred eighty".