550966800384000 has 9216 divisors, whose sum is σ = 2850843718195200. Its totient is φ = 104342224896000.

The previous prime is 550966800383977. The next prime is 550966800384059. The reversal of 550966800384000 is 483008669055.

It is a happy number.

550966800384000 is a `hidden beast` number, since 5 + 509 + 6 + 68 + 0 + 0 + 38 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6974263295961 + ... + 6974263296039.

It is an arithmetic number, because the mean of its divisors is an integer number (309336340950).

Almost surely, 2^{550966800384000} is an apocalyptic number.

550966800384000 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 550966800384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425421859097600).

550966800384000 is an abundant number, since it is smaller than the sum of its proper divisors (2299876917811200).

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

550966800384000 is an equidigital number, since it uses as much as digits as its factorization.

550966800384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 550966800384000 in words is "five hundred fifty trillion, nine hundred sixty-six billion, eight hundred million, three hundred eighty-four thousand".