51567280128 has 900 divisors, whose sum is σ = 196162791132. Its totient is φ = 13377208320.

The previous prime is 51567280103. The next prime is 51567280147. The reversal of 51567280128 is 82108276515.

51567280128 is a `hidden beast` number, since 5 + 1 + 567 + 2 + 80 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4161798144 + 47405481984 = 64512^2 + 217728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 845365218 + ... + 845365278.

Almost surely, 2^51567280128 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 51567280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98081395566).

51567280128 is an abundant number, since it is smaller than the sum of its proper divisors (144595511004).

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

51567280128 is an equidigital number, since it uses as much as digits as its factorization.

51567280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 51567280128 in words is "fifty-one billion, five hundred sixty-seven million, two hundred eighty thousand, one hundred twenty-eight".