512111431104 has 672 divisors, whose sum is σ = 1844659353600. Its totient is φ = 123808849920.

The previous prime is 512111431079. The next prime is 512111431133. The reversal of 512111431104 is 401134111215.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72033502 + ... + 72040610.

It is an arithmetic number, because the mean of its divisors is an integer number (2745028800).

Almost surely, 2^512111431104 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 512111431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922329676800).

512111431104 is an abundant number, since it is smaller than the sum of its proper divisors (1332547922496).

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

512111431104 is a wasteful number, since it uses less digits than its factorization.

512111431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 512111431104 its reverse (401134111215), we get a palindrome (913245542319).

The spelling of 512111431104 in words is "five hundred twelve billion, one hundred eleven million, four hundred thirty-one thousand, one hundred four".