51868587727872 has 1056 divisors, whose sum is σ = 166061325830400. Its totient is φ = 16124313600000.

The previous prime is 51868587727849. The next prime is 51868587727883. The reversal of 51868587727872 is 27872778586815.

51868587727872 is a `hidden beast` number, since 5 + 1 + 8 + 6 + 8 + 587 + 7 + 27 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 51868587727791 and 51868587727800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129348098872 + ... + 129348099272.

It is an arithmetic number, because the mean of its divisors is an integer number (157255043400).

Almost surely, 2^{51868587727872} 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 51868587727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030662915200).

51868587727872 is an abundant number, since it is smaller than the sum of its proper divisors (114192738102528).

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

51868587727872 is a wasteful number, since it uses less digits than its factorization.

51868587727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 785 counting only the distinct ones).

The product of its digits is 5900697600, while the sum is 81.

The spelling of 51868587727872 in words is "fifty-one trillion, eight hundred sixty-eight billion, five hundred eighty-seven million, seven hundred twenty-seven thousand, eight hundred seventy-two".