51386078268 has 480 divisors, whose sum is σ = 169441198080. Its totient is φ = 13256369280.

The previous prime is 51386078239. The next prime is 51386078281. The reversal of 51386078268 is 86287068315.

51386078268 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 607 + 8 + 26 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69534243 + ... + 69534981.

It is an arithmetic number, because the mean of its divisors is an integer number (353002496).

Almost surely, 2^51386078268 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 51386078268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84720599040).

51386078268 is an abundant number, since it is smaller than the sum of its proper divisors (118055119812).

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

51386078268 is a wasteful number, since it uses less digits than its factorization.

51386078268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 51386078268 in words is "fifty-one billion, three hundred eighty-six million, seventy-eight thousand, two hundred sixty-eight".