552225484800 has 1872 divisors, whose sum is σ = 2357686955520. Its totient is φ = 122093568000.

The previous prime is 552225484787. The next prime is 552225484807. The reversal of 552225484800 is 8484522255.

552225484800 is a `hidden beast` number, since 5 + 5 + 2 + 22 + 548 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552225484807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9052876770 + ... + 9052876830.

It is an arithmetic number, because the mean of its divisors is an integer number (1259448160).

Almost surely, 2^552225484800 is an apocalyptic number.

552225484800 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 552225484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178843477760).

552225484800 is an abundant number, since it is smaller than the sum of its proper divisors (1805461470720).

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

552225484800 is a wasteful number, since it uses less digits than its factorization.

552225484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 552225484800 in words is "five hundred fifty-two billion, two hundred twenty-five million, four hundred eighty-four thousand, eight hundred".