50510585664 has 896 divisors, whose sum is σ = 194666250240. Its totient is φ = 12463718400.

The previous prime is 50510585651. The next prime is 50510585677. The reversal of 50510585664 is 46658501505.

50510585664 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 0 + 585 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (50510585651) and next prime (50510585677).

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 127 ways as a sum of consecutive naturals, for example, 256398814 + ... + 256399010.

It is an arithmetic number, because the mean of its divisors is an integer number (217261440).

Almost surely, 2^50510585664 is an apocalyptic number.

50510585664 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 50510585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97333125120).

50510585664 is an abundant number, since it is smaller than the sum of its proper divisors (144155664576).

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

50510585664 is a wasteful number, since it uses less digits than its factorization.

50510585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 50510585664 in words is "fifty billion, five hundred ten million, five hundred eighty-five thousand, six hundred sixty-four".