552101985288 has 192 divisors, whose sum is σ = 1718657740800. Its totient is φ = 156843319680.

The previous prime is 552101985263. The next prime is 552101985299. The reversal of 552101985288 is 882589101255.

552101985288 is a `hidden beast` number, since 5 + 5 + 2 + 101 + 9 + 8 + 528 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109130103 + ... + 109135161.

It is an arithmetic number, because the mean of its divisors is an integer number (8951342400).

Almost surely, 2^552101985288 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 552101985288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859328870400).

552101985288 is an abundant number, since it is smaller than the sum of its proper divisors (1166555755512).

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

552101985288 is a wasteful number, since it uses less digits than its factorization.

552101985288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 552101985288 in words is "five hundred fifty-two billion, one hundred one million, nine hundred eighty-five thousand, two hundred eighty-eight".