51328077057792 has 432 divisors, whose sum is σ = 153852680348640. Its totient is φ = 16437764947968.

The previous prime is 51328077057757. The next prime is 51328077057793. The reversal of 51328077057792 is 29775077082315.

It is a happy number.

51328077057792 is a `hidden beast` number, since 51 + 3 + 2 + 8 + 0 + 7 + 7 + 0 + 577 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51328077057793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17717664088 + ... + 17717666984.

It is an arithmetic number, because the mean of its divisors is an integer number (356140463770).

Almost surely, 2^{51328077057792} 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 51328077057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76926340174320).

51328077057792 is an abundant number, since it is smaller than the sum of its proper divisors (102524603290848).

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

51328077057792 is a wasteful number, since it uses less digits than its factorization.

51328077057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 51328077057792 in words is "fifty-one trillion, three hundred twenty-eight billion, seventy-seven million, fifty-seven thousand, seven hundred ninety-two".