550494683107200 has 1152 divisors, whose sum is σ = 2129701120092000. Its totient is φ = 135392202915840.

The previous prime is 550494683107093. The next prime is 550494683107267. The reversal of 550494683107200 is 2701386494055.

It is a happy number.

550494683107200 is a `hidden beast` number, since 5 + 5 + 0 + 494 + 6 + 83 + 1 + 0 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×550494683107200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94214387479 + ... + 94214393321.

It is a 1-persistent number, because it is pandigital, but 2⋅550494683107200 = 1100989366214400 is not.

Almost surely, 2^{550494683107200} is an apocalyptic number.

550494683107200 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 550494683107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064850560046000).

550494683107200 is an abundant number, since it is smaller than the sum of its proper divisors (1579206436984800).

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

550494683107200 is a wasteful number, since it uses less digits than its factorization.

550494683107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 550494683107200 in words is "five hundred fifty trillion, four hundred ninety-four billion, six hundred eighty-three million, one hundred seven thousand, two hundred".