550598656608 has 576 divisors, whose sum is σ = 2107020045312. Its totient is φ = 131714519040.

The previous prime is 550598656591. The next prime is 550598656681. The reversal of 550598656608 is 806656895055.

550598656608 is a `hidden beast` number, since 5 + 505 + 9 + 8 + 65 + 6 + 60 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145006966 + ... + 145010762.

It is an arithmetic number, because the mean of its divisors is an integer number (3658020912).

Almost surely, 2^550598656608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550598656608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053510022656).

550598656608 is an abundant number, since it is smaller than the sum of its proper divisors (1556421388704).

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

550598656608 is a wasteful number, since it uses less digits than its factorization.

550598656608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 550598656608 in words is "five hundred fifty billion, five hundred ninety-eight million, six hundred fifty-six thousand, six hundred eight".