51467885568 has 352 divisors, whose sum is σ = 167231712000. Its totient is φ = 15507210240.

The previous prime is 51467885551. The next prime is 51467885591. The reversal of 51467885568 is 86558876415.

51467885568 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 78 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (64512000) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 69644943 + ... + 69645681.

Almost surely, 2^51467885568 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 51467885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83615856000).

51467885568 is an abundant number, since it is smaller than the sum of its proper divisors (115763826432).

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

51467885568 is a wasteful number, since it uses less digits than its factorization.

51467885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 51467885568 in words is "fifty-one billion, four hundred sixty-seven million, eight hundred eighty-five thousand, five hundred sixty-eight".