512375162820 has 192 divisors, whose sum is σ = 1527540892416. Its totient is φ = 127878266880.

The previous prime is 512375162797. The next prime is 512375162861. The reversal of 512375162820 is 28261573215.

It is a super-3 number, since 3×512375162820³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268680307 + ... + 268682213.

It is an arithmetic number, because the mean of its divisors is an integer number (7955942148).

Almost surely, 2^512375162820 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 512375162820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763770446208).

512375162820 is an abundant number, since it is smaller than the sum of its proper divisors (1015165729596).

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

512375162820 is a wasteful number, since it uses less digits than its factorization.

512375162820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 512375162820 in words is "five hundred twelve billion, three hundred seventy-five million, one hundred sixty-two thousand, eight hundred twenty".