51500432314240 has 512 divisors, whose sum is σ = 155337867417600. Its totient is φ = 15893246214144.

The previous prime is 51500432314217. The next prime is 51500432314327. The reversal of 51500432314240 is 4241323400515.

It is a junction number, because it is equal to n+sod(n) for n = 51500432314196 and 51500432314205.

It is a congruent number.

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, 503084181 + ... + 503186539.

It is an arithmetic number, because the mean of its divisors is an integer number (303394272300).

Almost surely, 2^{51500432314240} 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 51500432314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77668933708800).

51500432314240 is an abundant number, since it is smaller than the sum of its proper divisors (103837435103360).

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

51500432314240 is a wasteful number, since it uses less digits than its factorization.

51500432314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102614 (or 102602 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 51500432314240 its reverse (4241323400515), we get a palindrome (55741755714755).

The spelling of 51500432314240 in words is "fifty-one trillion, five hundred billion, four hundred thirty-two million, three hundred fourteen thousand, two hundred forty".