552368728000 has 224 divisors, whose sum is σ = 1405283862528. Its totient is φ = 214946816000.

The previous prime is 552368727971. The next prime is 552368728003. The reversal of 552368728000 is 827863255.

It is a happy number.

552368728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×552368728000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552368728003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125621802 + ... + 125626198.

It is an arithmetic number, because the mean of its divisors is an integer number (6273588672).

Almost surely, 2^552368728000 is an apocalyptic number.

552368728000 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 552368728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702641931264).

552368728000 is an abundant number, since it is smaller than the sum of its proper divisors (852915134528).

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

552368728000 is a wasteful number, since it uses less digits than its factorization.

552368728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 552368728000 in words is "five hundred fifty-two billion, three hundred sixty-eight million, seven hundred twenty-eight thousand".