512388556680 has 768 divisors, whose sum is σ = 2173284691200. Its totient is φ = 94886830080.

The previous prime is 512388556657. The next prime is 512388556697. The reversal of 512388556680 is 86655883215.

It is a super-2 number, since 2×512388556680² (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 512388556680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24373854 + ... + 24394866.

It is an arithmetic number, because the mean of its divisors is an integer number (2829797775).

Almost surely, 2^512388556680 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 512388556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086642345600).

512388556680 is an abundant number, since it is smaller than the sum of its proper divisors (1660896134520).

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

512388556680 is a wasteful number, since it uses less digits than its factorization.

512388556680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21094 (or 21083 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 512388556680 in words is "five hundred twelve billion, three hundred eighty-eight million, five hundred fifty-six thousand, six hundred eighty".