51110317680 has 240 divisors, whose sum is σ = 168918414720. Its totient is φ = 12748672512.

The previous prime is 51110317639. The next prime is 51110317681. The reversal of 51110317680 is 8671301115.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51110317680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51110317681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31413027 + ... + 31414653.

It is an arithmetic number, because the mean of its divisors is an integer number (703826728).

Almost surely, 2^51110317680 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 51110317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84459207360).

51110317680 is an abundant number, since it is smaller than the sum of its proper divisors (117808097040).

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

51110317680 is a wasteful number, since it uses less digits than its factorization.

51110317680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Adding to 51110317680 its reverse (8671301115), we get a palindrome (59781618795).

The spelling of 51110317680 in words is "fifty-one billion, one hundred ten million, three hundred seventeen thousand, six hundred eighty".