551116800 has 504 divisors, whose sum is σ = 2218389264. Its totient is φ = 129761280.

The previous prime is 551116799. The next prime is 551116801. The reversal of 551116800 is 8611155.

It is an interprime number because it is at equal distance from previous prime (551116799) and next prime (551116801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551116801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961589 + ... + 23961611.

It is an arithmetic number, because the mean of its divisors is an integer number (4401566).

Almost surely, 2^551116800 is an apocalyptic number.

551116800 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 551116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109194632).

551116800 is an abundant number, since it is smaller than the sum of its proper divisors (1667272464).

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

551116800 is a wasteful number, since it uses less digits than its factorization.

551116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

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

The square root of 551116800 is about 23475.8769804240. The cubic root of 551116800 is about 819.8754520335.

Adding to 551116800 its reverse (8611155), we get a palindrome (559727955).

The spelling of 551116800 in words is "five hundred fifty-one million, one hundred sixteen thousand, eight hundred".