511328160 has 384 divisors, whose sum is σ = 2105187840. Its totient is φ = 113467392.

The previous prime is 511328149. The next prime is 511328177. The reversal of 511328160 is 61823115.

It is a super-2 number, since 2×511328160² = 522912974417971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1118652 + ... + 1119108.

It is an arithmetic number, because the mean of its divisors is an integer number (5482260).

Almost surely, 2^511328160 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 511328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052593920).

511328160 is an abundant number, since it is smaller than the sum of its proper divisors (1593859680).

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

511328160 is a wasteful number, since it uses less digits than its factorization.

511328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 511328160 is about 22612.5664178129. The cubic root of 511328160 is about 799.6499301696.

The spelling of 511328160 in words is "five hundred eleven million, three hundred twenty-eight thousand, one hundred sixty".