550142766709728 has 192 divisors, whose sum is σ = 1466933011568640. Its totient is φ = 180493548032000.

The previous prime is 550142766709699. The next prime is 550142766709769. The reversal of 550142766709728 is 827907667241055.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12963731326 + ... + 12963773762.

It is an arithmetic number, because the mean of its divisors is an integer number (7640276101920).

Almost surely, 2^{550142766709728} 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 550142766709728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733466505784320).

550142766709728 is an abundant number, since it is smaller than the sum of its proper divisors (916790244858912).

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

550142766709728 is a wasteful number, since it uses less digits than its factorization.

550142766709728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45681 (or 45673 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 550142766709728 in words is "five hundred fifty trillion, one hundred forty-two billion, seven hundred sixty-six million, seven hundred nine thousand, seven hundred twenty-eight".