511876560 has 160 divisors (see below), whose sum is σ = 1717390080. Its totient is φ = 125374464.

The previous prime is 511876517. The next prime is 511876571. The reversal of 511876560 is 65678115.

It is a super-2 number, since 2×511876560² = 524035225354867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119852 + ... + 1120308.

It is an arithmetic number, because the mean of its divisors is an integer number (10733688).

Almost surely, 2^511876560 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 511876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858695040).

511876560 is an abundant number, since it is smaller than the sum of its proper divisors (1205513520).

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

511876560 is a wasteful number, since it uses less digits than its factorization.

511876560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 511876560 is about 22624.6891691356. The cubic root of 511876560 is about 799.9357031659.

The spelling of 511876560 in words is "five hundred eleven million, eight hundred seventy-six thousand, five hundred sixty".