552124214000 has 320 divisors, whose sum is σ = 1440198714240. Its totient is φ = 204296601600.

The previous prime is 552124213999. The next prime is 552124214009. The reversal of 552124214000 is 412421255.

It is a super-2 number, since 2×552124214000² (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 (552124214009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132179912 + ... + 132184088.

It is an arithmetic number, because the mean of its divisors is an integer number (4500620982).

Almost surely, 2^552124214000 is an apocalyptic number.

552124214000 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 552124214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720099357120).

552124214000 is an abundant number, since it is smaller than the sum of its proper divisors (888074500240).

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

552124214000 is a wasteful number, since it uses less digits than its factorization.

552124214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 552124214000 its reverse (412421255), we get a palindrome (552536635255).

The spelling of 552124214000 in words is "five hundred fifty-two billion, one hundred twenty-four million, two hundred fourteen thousand".