550985984640 has 2048 divisors, whose sum is σ = 2526806016000. Its totient is φ = 110361968640.

The previous prime is 550985984621. The next prime is 550985984683. The reversal of 550985984640 is 46489589055.

550985984640 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 85 + 98 + 464 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 4338472257 + ... + 4338472383.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792000).

Almost surely, 2^550985984640 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 550985984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263403008000).

550985984640 is an abundant number, since it is smaller than the sum of its proper divisors (1975820031360).

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

550985984640 is a wasteful number, since it uses less digits than its factorization.

550985984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 550985984640 in words is "five hundred fifty billion, nine hundred eighty-five million, nine hundred eighty-four thousand, six hundred forty".