51008160 has 384 divisors, whose sum is σ = 209018880. Its totient is φ = 10174464.

The previous prime is 51008137. The next prime is 51008171. The reversal of 51008160 is 6180015.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085257 + ... + 1085303.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^51008160 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 51008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

51008160 is an abundant number, since it is smaller than the sum of its proper divisors (158010720).

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

51008160 is a wasteful number, since it uses less digits than its factorization.

51008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 51008160 is about 7141.9997199664. Note that the first 3 decimals coincide. The cubic root of 51008160 is about 370.8627541640.

Adding to 51008160 its reverse (6180015), we get a palindrome (57188175).

The spelling of 51008160 in words is "fifty-one million, eight thousand, one hundred sixty".