512138445000 has 1920 divisors, whose sum is σ = 2195297280000. Its totient is φ = 99066240000.

The previous prime is 512138444971. The next prime is 512138445017. The reversal of 512138445000 is 544831215.

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 479 ways as a sum of consecutive naturals, for example, 16520594985 + ... + 16520595015.

It is an arithmetic number, because the mean of its divisors is an integer number (1143384000).

Almost surely, 2^512138445000 is an apocalyptic number.

512138445000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512138445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097648640000).

512138445000 is an abundant number, since it is smaller than the sum of its proper divisors (1683158835000).

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

512138445000 is a wasteful number, since it uses less digits than its factorization.

512138445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 512138445000 in words is "five hundred twelve billion, one hundred thirty-eight million, four hundred forty-five thousand".