512051135720000 has 70 divisors (see below), whose sum is σ = 1269720400065678. Its totient is φ = 204820454272000.

The previous prime is 512051135719987. The next prime is 512051135720029. The reversal of 512051135720000 is 27531150215.

It can be written as a sum of positive squares in 5 ways, for example, as 302983596467776 + 209067539252224 = 17406424^2 + 14459168^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6400599197 + ... + 6400679196.

Almost surely, 2^{512051135720000} is an apocalyptic number.

512051135720000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512051135720000 is an abundant number, since it is smaller than the sum of its proper divisors (757669264345678).

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

512051135720000 is an equidigital number, since it uses as much as digits as its factorization.

512051135720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801278425 (or 12801278400 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

Adding to 512051135720000 its reverse (27531150215), we get a palindrome (512078666870215).

The spelling of 512051135720000 in words is "five hundred twelve trillion, fifty-one billion, one hundred thirty-five million, seven hundred twenty thousand".