51398182305792 has 1728 divisors, whose sum is σ = 191919881502720. Its totient is φ = 13270190653440.

The previous prime is 51398182305737. The next prime is 51398182305829. The reversal of 51398182305792 is 29750328189315.

51398182305792 is a `hidden beast` number, since 5 + 1 + 39 + 8 + 1 + 8 + 23 + 0 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404710096833 + ... + 404710096959.

It is an arithmetic number, because the mean of its divisors is an integer number (111064746240).

Almost surely, 2^{51398182305792} 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 51398182305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95959940751360).

51398182305792 is an abundant number, since it is smaller than the sum of its proper divisors (140521699196928).

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

51398182305792 is an equidigital number, since it uses as much as digits as its factorization.

51398182305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 51398182305792 in words is "fifty-one trillion, three hundred ninety-eight billion, one hundred eighty-two million, three hundred five thousand, seven hundred ninety-two".