51386646528 has 432 divisors, whose sum is σ = 174482380800. Its totient is φ = 14566293504.

The previous prime is 51386646527. The next prime is 51386646569. The reversal of 51386646528 is 82564668315.

51386646528 is a `hidden beast` number, since 5 + 13 + 8 + 66 + 46 + 528 = 666.

It is a super-2 number, since 2×51386646528² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51386646527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404619201 + ... + 404619327.

It is an arithmetic number, because the mean of its divisors is an integer number (403894400).

Almost surely, 2^51386646528 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 51386646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87241190400).

51386646528 is an abundant number, since it is smaller than the sum of its proper divisors (123095734272).

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

51386646528 is an frugal number, since it uses more digits than its factorization.

51386646528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 139 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 51386646528 in words is "fifty-one billion, three hundred eighty-six million, six hundred forty-six thousand, five hundred twenty-eight".