51842393064 has 640 divisors, whose sum is σ = 188352046080. Its totient is φ = 12933043200.

The previous prime is 51842393063. The next prime is 51842393167. The reversal of 51842393064 is 46039324815.

51842393064 is a `hidden beast` number, since 518 + 42 + 3 + 9 + 30 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (51842393063) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 156623379 + ... + 156623709.

It is an arithmetic number, because the mean of its divisors is an integer number (294300072).

Almost surely, 2^51842393064 is an apocalyptic number.

51842393064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51842393064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94176023040).

51842393064 is an abundant number, since it is smaller than the sum of its proper divisors (136509653016).

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

51842393064 is a wasteful number, since it uses less digits than its factorization.

51842393064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 51842393064 in words is "fifty-one billion, eight hundred forty-two million, three hundred ninety-three thousand, sixty-four".