51105870879672 has 256 divisors, whose sum is σ = 149957821440000. Its totient is φ = 14507601583104.

The previous prime is 51105870879631. The next prime is 51105870879673. The reversal of 51105870879672 is 27697807850115.

It is a super-2 number, since 2×51105870879672² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105870879673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291423673 + ... + 2291445975.

It is an arithmetic number, because the mean of its divisors is an integer number (585772740000).

Almost surely, 2^{51105870879672} 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 51105870879672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74978910720000).

51105870879672 is an abundant number, since it is smaller than the sum of its proper divisors (98851950560328).

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

51105870879672 is a wasteful number, since it uses less digits than its factorization.

51105870879672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 66.

The spelling of 51105870879672 in words is "fifty-one trillion, one hundred five billion, eight hundred seventy million, eight hundred seventy-nine thousand, six hundred seventy-two".