51016800 has 144 divisors (see below), whose sum is σ = 172020240. Its totient is φ = 13117440.

The previous prime is 51016787. The next prime is 51016831. The reversal of 51016800 is 861015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69234 + ... + 69966.

It is an arithmetic number, because the mean of its divisors is an integer number (1194585).

Almost surely, 2^51016800 is an apocalyptic number.

51016800 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 51016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86010120).

51016800 is an abundant number, since it is smaller than the sum of its proper divisors (121003440).

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

51016800 is a wasteful number, since it uses less digits than its factorization.

51016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

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

The square root of 51016800 is about 7142.6045669630. The cubic root of 51016800 is about 370.8836924694.

Adding to 51016800 its reverse (861015), we get a palindrome (51877815).

The spelling of 51016800 in words is "fifty-one million, sixteen thousand, eight hundred".