516538880 has 320 divisors, whose sum is σ = 1559150208. Its totient is φ = 161218560.

The previous prime is 516538877. The next prime is 516538889. The reversal of 516538880 is 88835615.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (516538889) by changing a digit.

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, 6223319 + ... + 6223401.

Almost surely, 2^516538880 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 516538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779575104).

516538880 is an abundant number, since it is smaller than the sum of its proper divisors (1042611328).

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

516538880 is a wasteful number, since it uses less digits than its factorization.

516538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 516538880 is about 22727.4917225813. The cubic root of 516538880 is about 802.3570485822.

The spelling of 516538880 in words is "five hundred sixteen million, five hundred thirty-eight thousand, eight hundred eighty".