553125061200 has 240 divisors, whose sum is σ = 1782773395200. Its totient is φ = 146592768000.

The previous prime is 553125061199. The next prime is 553125061211. The reversal of 553125061200 is 2160521355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172365196 + ... + 172368404.

It is an arithmetic number, because the mean of its divisors is an integer number (7428222480).

Almost surely, 2^553125061200 is an apocalyptic number.

553125061200 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 553125061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891386697600).

553125061200 is an abundant number, since it is smaller than the sum of its proper divisors (1229648334000).

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

553125061200 is a wasteful number, since it uses less digits than its factorization.

553125061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 553125061200 its reverse (2160521355), we get a palindrome (555285582555).

The spelling of 553125061200 in words is "five hundred fifty-three billion, one hundred twenty-five million, sixty-one thousand, two hundred".