51006448080 has 720 divisors, whose sum is σ = 205187630544. Its totient is φ = 11317985280.

The previous prime is 51006448063. The next prime is 51006448099. The reversal of 51006448080 is 8084460015.

51006448080 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 644 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 403045776 + 50603402304 = 20076^2 + 224952^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 294834874 + ... + 294835046.

Almost surely, 2^51006448080 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 51006448080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102593815272).

51006448080 is an abundant number, since it is smaller than the sum of its proper divisors (154181182464).

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

51006448080 is a wasteful number, since it uses less digits than its factorization.

51006448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51006448080 in words is "fifty-one billion, six million, four hundred forty-eight thousand, eighty".