51180360 has 256 divisors, whose sum is σ = 199065600. Its totient is φ = 10214400.

The previous prime is 51180329. The next prime is 51180377. The reversal of 51180360 is 6308115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51180360.

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, 267865 + ... + 268055.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^51180360 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 51180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

51180360 is an abundant number, since it is smaller than the sum of its proper divisors (147885240).

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

51180360 is a wasteful number, since it uses less digits than its factorization.

51180360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 51180360 is about 7154.0450096431. The cubic root of 51180360 is about 371.2796210310.

Adding to 51180360 its reverse (6308115), we get a palindrome (57488475).

The spelling of 51180360 in words is "fifty-one million, one hundred eighty thousand, three hundred sixty".