551980800 has 486 divisors, whose sum is σ = 2317981848. Its totient is φ = 122757120.

The previous prime is 551980787. The next prime is 551980817. The reversal of 551980800 is 8089155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14918382 + ... + 14918418.

Almost surely, 2^551980800 is an apocalyptic number.

551980800 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 551980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158990924).

551980800 is an abundant number, since it is smaller than the sum of its proper divisors (1766001048).

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

551980800 is a wasteful number, since it uses less digits than its factorization.

551980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 551980800 is about 23494.2716422536. The cubic root of 551980800 is about 820.3036749527.

The spelling of 551980800 in words is "five hundred fifty-one million, nine hundred eighty thousand, eight hundred".