51609724392096 has 288 divisors, whose sum is σ = 159414971788800. Its totient is φ = 15743824588800.

The previous prime is 51609724392089. The next prime is 51609724392103. The reversal of 51609724392096 is 69029342790615.

51609724392096 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 97 + 2 + 439 + 20 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (51609724392089) and next prime (51609724392103).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209237481 + ... + 209483991.

It is an arithmetic number, because the mean of its divisors is an integer number (553524207600).

Almost surely, 2^{51609724392096} 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 51609724392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79707485894400).

51609724392096 is an abundant number, since it is smaller than the sum of its proper divisors (107805247396704).

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

51609724392096 is a wasteful number, since it uses less digits than its factorization.

51609724392096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247020 (or 247009 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 51609724392096 in words is "fifty-one trillion, six hundred nine billion, seven hundred twenty-four million, three hundred ninety-two thousand, ninety-six".