51061949447040 has 1920 divisors, whose sum is σ = 222480307221120. Its totient is φ = 10748710748160.

The previous prime is 51061949446987. The next prime is 51061949447053. The reversal of 51061949447040 is 4074494916015.

It is a happy number.

51061949447040 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 194 + 9 + 447 + 0 + 4 + 0 = 666.

51061949447040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11049975930 + ... + 11049980550.

It is an arithmetic number, because the mean of its divisors is an integer number (115875160011).

Almost surely, 2^{51061949447040} 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 51061949447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111240153610560).

51061949447040 is an abundant number, since it is smaller than the sum of its proper divisors (171418357774080).

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

51061949447040 is a wasteful number, since it uses less digits than its factorization.

51061949447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 51061949447040 in words is "fifty-one trillion, sixty-one billion, nine hundred forty-nine million, four hundred forty-seven thousand, forty".