550359634400 has 72 divisors (see below), whose sum is σ = 1344792365280. Its totient is φ = 219942824960.

The previous prime is 550359634387. The next prime is 550359634421. The reversal of 550359634400 is 4436953055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564041 + ... + 1191159.

It is an arithmetic number, because the mean of its divisors is an integer number (18677671740).

Almost surely, 2^550359634400 is an apocalyptic number.

550359634400 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 550359634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672396182640).

550359634400 is an abundant number, since it is smaller than the sum of its proper divisors (794432730880).

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

550359634400 is a wasteful number, since it uses less digits than its factorization.

550359634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628236 (or 628223 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 44.

The spelling of 550359634400 in words is "five hundred fifty billion, three hundred fifty-nine million, six hundred thirty-four thousand, four hundred".