515311144000000 has 560 divisors, whose sum is σ = 1314863611405344. Its totient is φ = 201710028800000.

The previous prime is 515311143999997. The next prime is 515311144000013. The reversal of 515311144000000 is 441113515.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 71047996374 + ... + 71048003626.

Almost surely, 2^{515311144000000} is an apocalyptic number.

515311144000000 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 515311144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657431805702672).

515311144000000 is an abundant number, since it is smaller than the sum of its proper divisors (799552467405344).

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

515311144000000 is an frugal number, since it uses more digits than its factorization.

515311144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 515311144000000 its reverse (441113515), we get a palindrome (515311585113515).

The spelling of 515311144000000 in words is "five hundred fifteen trillion, three hundred eleven billion, one hundred forty-four million", and thus it is an aban number.