552022328686800 has 480 divisors, whose sum is σ = 1806897053151360. Its totient is φ = 144010270310400.

The previous prime is 552022328686799. The next prime is 552022328686883. The reversal of 552022328686800 is 8686823220255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90184987740 + ... + 90184993860.

It is an arithmetic number, because the mean of its divisors is an integer number (3764368860732).

Almost surely, 2^{552022328686800} is an apocalyptic number.

552022328686800 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 552022328686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903448526575680).

552022328686800 is an abundant number, since it is smaller than the sum of its proper divisors (1254874724464560).

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

552022328686800 is a wasteful number, since it uses less digits than its factorization.

552022328686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 552022328686800 in words is "five hundred fifty-two trillion, twenty-two billion, three hundred twenty-eight million, six hundred eighty-six thousand, eight hundred".