553334016000 has 384 divisors, whose sum is σ = 1848080707200. Its totient is φ = 146992332800.

The previous prime is 553334015987. The next prime is 553334016007. The reversal of 553334016000 is 610433355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (553334016007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225022771 + ... + 225025229.

It is an arithmetic number, because the mean of its divisors is an integer number (4812710175).

Almost surely, 2^553334016000 is an apocalyptic number.

553334016000 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 553334016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924040353600).

553334016000 is an abundant number, since it is smaller than the sum of its proper divisors (1294746691200).

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

553334016000 is a wasteful number, since it uses less digits than its factorization.

553334016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 553334016000 its reverse (610433355), we get a palindrome (553944449355).

The spelling of 553334016000 in words is "five hundred fifty-three billion, three hundred thirty-four million, sixteen thousand".