51585842356608 has 256 divisors, whose sum is σ = 164114615232000. Its totient is φ = 14340464474112.

The previous prime is 51585842356579. The next prime is 51585842356613. The reversal of 51585842356608 is 80665324858515.

It is a super-2 number, since 2×51585842356608² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419310 + ... + 10165997.

It is an arithmetic number, because the mean of its divisors is an integer number (641072715750).

Almost surely, 2^{51585842356608} 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 51585842356608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82057307616000).

51585842356608 is an abundant number, since it is smaller than the sum of its proper divisors (112528772875392).

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

51585842356608 is a wasteful number, since it uses less digits than its factorization.

51585842356608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585382 (or 10585356 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 66.

The spelling of 51585842356608 in words is "fifty-one trillion, five hundred eighty-five billion, eight hundred forty-two million, three hundred fifty-six thousand, six hundred eight".