512831316480 has 1280 divisors, whose sum is σ = 2090746183680. Its totient is φ = 104542175232.

The previous prime is 512831316479. The next prime is 512831316511. The reversal of 512831316480 is 84613138215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1949928829 + ... + 1949929091.

It is an arithmetic number, because the mean of its divisors is an integer number (1633395456).

Almost surely, 2^512831316480 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 512831316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045373091840).

512831316480 is an abundant number, since it is smaller than the sum of its proper divisors (1577914867200).

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

512831316480 is a wasteful number, since it uses less digits than its factorization.

512831316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 512831316480 in words is "five hundred twelve billion, eight hundred thirty-one million, three hundred sixteen thousand, four hundred eighty".