550105129728 has 576 divisors, whose sum is σ = 2116393574400. Its totient is φ = 136669040640.

The previous prime is 550105129727. The next prime is 550105129729. The reversal of 550105129728 is 827921501055.

550105129728 is a `hidden beast` number, since 5 + 50 + 10 + 512 + 9 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (550105129727) and next prime (550105129729).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (550105129727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12218683 + ... + 12263621.

It is an arithmetic number, because the mean of its divisors is an integer number (3674294400).

Almost surely, 2^550105129728 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 550105129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058196787200).

550105129728 is an abundant number, since it is smaller than the sum of its proper divisors (1566288444672).

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

550105129728 is a wasteful number, since it uses less digits than its factorization.

550105129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45005 (or 44985 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 550105129728 in words is "five hundred fifty billion, one hundred five million, one hundred twenty-nine thousand, seven hundred twenty-eight".