51784155360 has 288 divisors, whose sum is σ = 209439240192. Its totient is φ = 11836316160.

The previous prime is 51784155349. The next prime is 51784155403. The reversal of 51784155360 is 6355148715.

51784155360 is a `hidden beast` number, since 5 + 1 + 78 + 41 + 5 + 536 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177025 + ... + 367295.

It is an arithmetic number, because the mean of its divisors is an integer number (727219584).

Almost surely, 2^51784155360 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 51784155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104719620096).

51784155360 is an abundant number, since it is smaller than the sum of its proper divisors (157655084832).

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

51784155360 is a wasteful number, since it uses less digits than its factorization.

51784155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190308 (or 190288 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 51784155360 in words is "fifty-one billion, seven hundred eighty-four million, one hundred fifty-five thousand, three hundred sixty".