51518160 has 320 divisors, whose sum is σ = 199272960. Its totient is φ = 12165120.

The previous prime is 51518153. The next prime is 51518161. The reversal of 51518160 is 6181515.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51518161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844530 + ... + 844590.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^51518160 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 51518160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

51518160 is an abundant number, since it is smaller than the sum of its proper divisors (147754800).

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

51518160 is a wasteful number, since it uses less digits than its factorization.

51518160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 51518160 is about 7177.6152028372. The cubic root of 51518160 is about 372.0946689341.

Adding to 51518160 its reverse (6181515), we get a palindrome (57699675).

The spelling of 51518160 in words is "fifty-one million, five hundred eighteen thousand, one hundred sixty".