55322005708800 has 420 divisors, whose sum is σ = 204938508696966. Its totient is φ = 14752530432000.

The previous prime is 55322005708757. The next prime is 55322005708807. The reversal of 55322005708800 is 880750022355.

55322005708800 is a `hidden beast` number, since 5 + 53 + 2 + 20 + 0 + 570 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53993574273024 + 1328431435776 = 7348032^2 + 1152576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55322005708807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14921350 + ... + 18256250.

Almost surely, 2^{55322005708800} is an apocalyptic number.

55322005708800 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 55322005708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102469254348483).

55322005708800 is an abundant number, since it is smaller than the sum of its proper divisors (149616502988166).

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

55322005708800 is an equidigital number, since it uses as much as digits as its factorization.

55322005708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334949 (or 3334911 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55322005708800 in words is "fifty-five trillion, three hundred twenty-two billion, five million, seven hundred eight thousand, eight hundred".