553120153600 has 720 divisors, whose sum is σ = 1664249036800. Its totient is φ = 182078668800.

The previous prime is 553120153501. The next prime is 553120153601. The reversal of 553120153600 is 6351021355.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553120153601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4355276737 + ... + 4355276863.

Almost surely, 2^553120153600 is an apocalyptic number.

553120153600 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 553120153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832124518400).

553120153600 is an abundant number, since it is smaller than the sum of its proper divisors (1111128883200).

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

553120153600 is an equidigital number, since it uses as much as digits as its factorization.

553120153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 553120153600 its reverse (6351021355), we get a palindrome (559471174955).

The spelling of 553120153600 in words is "five hundred fifty-three billion, one hundred twenty million, one hundred fifty-three thousand, six hundred".