51165416448 has 440 divisors, whose sum is σ = 158575161888. Its totient is φ = 16424239104.

The previous prime is 51165416347. The next prime is 51165416453. The reversal of 51165416448 is 84461456115.

51165416448 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 541 + 64 + 48 = 666.

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, 452791240 + ... + 452791352.

Almost surely, 2^51165416448 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 51165416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79287580944).

51165416448 is an abundant number, since it is smaller than the sum of its proper divisors (107409745440).

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

51165416448 is a wasteful number, since it uses less digits than its factorization.

51165416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 51165416448 in words is "fifty-one billion, one hundred sixty-five million, four hundred sixteen thousand, four hundred forty-eight".