515632142142240 has 384 divisors, whose sum is σ = 1768926781440000. Its totient is φ = 125755785179136.

The previous prime is 515632142142233. The next prime is 515632142142307. The reversal of 515632142142240 is 42241241236515.

It is a junction number, because it is equal to n+sod(n) for n = 515632142142192 and 515632142142201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1980031561 + ... + 1980291959.

It is an arithmetic number, because the mean of its divisors is an integer number (4606580160000).

Almost surely, 2^{515632142142240} 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 515632142142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884463390720000).

515632142142240 is an abundant number, since it is smaller than the sum of its proper divisors (1253294639297760).

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

515632142142240 is a wasteful number, since it uses less digits than its factorization.

515632142142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267952 (or 267944 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 515632142142240 its reverse (42241241236515), we get a palindrome (557873383378755).

The spelling of 515632142142240 in words is "five hundred fifteen trillion, six hundred thirty-two billion, one hundred forty-two million, one hundred forty-two thousand, two hundred forty".