512106680848 has 120 divisors (see below), whose sum is σ = 1186335528000. Its totient is φ = 213373004544.

The previous prime is 512106680837. The next prime is 512106680873. The reversal of 512106680848 is 848086601215.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40575883 + ... + 40588501.

It is an arithmetic number, because the mean of its divisors is an integer number (9886129400).

Almost surely, 2^512106680848 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 512106680848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593167764000).

512106680848 is an abundant number, since it is smaller than the sum of its proper divisors (674228847152).

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

512106680848 is a wasteful number, since it uses less digits than its factorization.

512106680848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 512106680848 in words is "five hundred twelve billion, one hundred six million, six hundred eighty thousand, eight hundred forty-eight".