552515123200 has 288 divisors, whose sum is σ = 1455021247680. Its totient is φ = 207355904000.

The previous prime is 552515123197. The next prime is 552515123207. The reversal of 552515123200 is 2321515255.

It is a super-3 number, since 3×552515123200³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552515123207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349029609 + ... + 349031191.

It is an arithmetic number, because the mean of its divisors is an integer number (5052157110).

Almost surely, 2^552515123200 is an apocalyptic number.

552515123200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552515123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727510623840).

552515123200 is an abundant number, since it is smaller than the sum of its proper divisors (902506124480).

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

552515123200 is a wasteful number, since it uses less digits than its factorization.

552515123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 552515123200 its reverse (2321515255), we get a palindrome (554836638455).

The spelling of 552515123200 in words is "five hundred fifty-two billion, five hundred fifteen million, one hundred twenty-three thousand, two hundred".