51041820960 has 288 divisors, whose sum is σ = 187852981680. Its totient is φ = 12545777664.

The previous prime is 51041820889. The next prime is 51041821009. The reversal of 51041820960 is 6902814015.

51041820960 is a `hidden beast` number, since 510 + 4 + 1 + 82 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13152419856 + 37889401104 = 114684^2 + 194652^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16415886 + ... + 16418994.

Almost surely, 2^51041820960 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 51041820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93926490840).

51041820960 is an abundant number, since it is smaller than the sum of its proper divisors (136811160720).

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

51041820960 is a wasteful number, since it uses less digits than its factorization.

51041820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 51041820960 in words is "fifty-one billion, forty-one million, eight hundred twenty thousand, nine hundred sixty".