51484696416 has 240 divisors, whose sum is σ = 159710387760. Its totient is φ = 16225090560.

The previous prime is 51484696387. The next prime is 51484696447. The reversal of 51484696416 is 61469648415.

51484696416 is a `hidden beast` number, since 514 + 8 + 4 + 69 + 64 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37280046 + ... + 37281426.

It is an arithmetic number, because the mean of its divisors is an integer number (665459949).

Almost surely, 2^51484696416 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 51484696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79855193880).

51484696416 is an abundant number, since it is smaller than the sum of its proper divisors (108225691344).

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

51484696416 is a wasteful number, since it uses less digits than its factorization.

51484696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2162 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 51484696416 in words is "fifty-one billion, four hundred eighty-four million, six hundred ninety-six thousand, four hundred sixteen".