51163200 has 504 divisors, whose sum is σ = 221101920. Its totient is φ = 11059200.

The previous prime is 51163171. The next prime is 51163243. The reversal of 51163200 is 236115.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692791 + ... + 2692809.

Almost surely, 2^51163200 is an apocalyptic number.

51163200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110550960).

51163200 is an abundant number, since it is smaller than the sum of its proper divisors (169938720).

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

51163200 is a wasteful number, since it uses less digits than its factorization.

51163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51163200 is about 7152.8455875966. The cubic root of 51163200 is about 371.2381215803.

Adding to 51163200 its reverse (236115), we get a palindrome (51399315).

The spelling of 51163200 in words is "fifty-one million, one hundred sixty-three thousand, two hundred".