511748880 has 160 divisors (see below), whose sum is σ = 1641644928. Its totient is φ = 131788800.

The previous prime is 511748849. The next prime is 511748893. The reversal of 511748880 is 88847115.

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, 1288842 + ... + 1289238.

Almost surely, 2^511748880 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 511748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820822464).

511748880 is an abundant number, since it is smaller than the sum of its proper divisors (1129896048).

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

511748880 is a wasteful number, since it uses less digits than its factorization.

511748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 511748880 is about 22621.8672969320. The cubic root of 511748880 is about 799.8691869444.

The spelling of 511748880 in words is "five hundred eleven million, seven hundred forty-eight thousand, eight hundred eighty".