51314215128960 has 512 divisors, whose sum is σ = 198493690752000. Its totient is φ = 11007376883712.

The previous prime is 51314215128949. The next prime is 51314215129013. The reversal of 51314215128960 is 6982151241315.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 79417759 + ... + 80061281.

It is an arithmetic number, because the mean of its divisors is an integer number (387682989750).

Almost surely, 2^{51314215128960} 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 51314215128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99246845376000).

51314215128960 is an abundant number, since it is smaller than the sum of its proper divisors (147179475623040).

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

51314215128960 is a wasteful number, since it uses less digits than its factorization.

51314215128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643918 (or 643906 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 51314215128960 in words is "fifty-one trillion, three hundred fourteen billion, two hundred fifteen million, one hundred twenty-eight thousand, nine hundred sixty".