51079588560 has 1440 divisors, whose sum is σ = 246366731520. Its totient is φ = 9196830720.

The previous prime is 51079588559. The next prime is 51079588583. The reversal of 51079588560 is 6588597015.

51079588560 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 9 + 588 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51079588497 and 51079588506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134774451 + ... + 134774829.

It is an arithmetic number, because the mean of its divisors is an integer number (171088008).

Almost surely, 2^51079588560 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 51079588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123183365760).

51079588560 is an abundant number, since it is smaller than the sum of its proper divisors (195287142960).

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

51079588560 is a wasteful number, since it uses less digits than its factorization.

51079588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 51079588560 in words is "fifty-one billion, seventy-nine million, five hundred eighty-eight thousand, five hundred sixty".