512105842272 has 48 divisors (see below), whose sum is σ = 1344364544880. Its totient is φ = 170690936832.

The previous prime is 512105842111. The next prime is 512105842397. The reversal of 512105842272 is 272248501215.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×512105842272² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512105842272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398304 + ... + 1726112.

It is an arithmetic number, because the mean of its divisors is an integer number (28007594685).

Almost surely, 2^512105842272 is an apocalyptic number.

It is an amenable number.

512105842272 is an abundant number, since it is smaller than the sum of its proper divisors (832258702608).

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

512105842272 is a wasteful number, since it uses less digits than its factorization.

512105842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344095 (or 344087 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 512105842272 in words is "five hundred twelve billion, one hundred five million, eight hundred forty-two thousand, two hundred seventy-two".