512595145920 has 448 divisors, whose sum is σ = 1927879994880. Its totient is φ = 114702888960.

The previous prime is 512595145913. The next prime is 512595145963. The reversal of 512595145920 is 29541595215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 512595145920.

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, 16595451 + ... + 16626309.

It is an arithmetic number, because the mean of its divisors is an integer number (4303303560).

Almost surely, 2^512595145920 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 512595145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963939997440).

512595145920 is an abundant number, since it is smaller than the sum of its proper divisors (1415284848960).

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

512595145920 is a wasteful number, since it uses less digits than its factorization.

512595145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30925 (or 30893 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 512595145920 in words is "five hundred twelve billion, five hundred ninety-five million, one hundred forty-five thousand, nine hundred twenty".