51140800 has 42 divisors (see below), whose sum is σ = 125842268. Its totient is φ = 20455680.

The previous prime is 51140797. The next prime is 51140801. The reversal of 51140800 is 804115.

It is not an unprimeable number, because it can be changed into a prime (51140801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14382 + ... + 17581.

Almost surely, 2^51140800 is an apocalyptic number.

51140800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51140800 is an abundant number, since it is smaller than the sum of its proper divisors (74701468).

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

51140800 is a wasteful number, since it uses less digits than its factorization.

51140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31985 (or 31970 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 51140800 is about 7151.2796057769. The cubic root of 51140800 is about 371.1839358387.

Adding to 51140800 its reverse (804115), we get a palindrome (51944915).

It can be divided in two parts, 5 and 1140800, that added together give a triangular number (1140805 = T₁₅₁₀).

The spelling of 51140800 in words is "fifty-one million, one hundred forty thousand, eight hundred".