55506316608000 has 1120 divisors, whose sum is σ = 208026236575872. Its totient is φ = 14765442048000.

The previous prime is 55506316607957. The next prime is 55506316608011. The reversal of 55506316608000 is 80661360555.

55506316608000 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 6 + 31 + 6 + 608 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 22908094789 + ... + 22908097211.

Almost surely, 2^{55506316608000} is an apocalyptic number.

55506316608000 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 55506316608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104013118287936).

55506316608000 is an abundant number, since it is smaller than the sum of its proper divisors (152519919967872).

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

55506316608000 is an frugal number, since it uses more digits than its factorization.

55506316608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 55506316608000 its reverse (80661360555), we get a palindrome (55586977968555).

The spelling of 55506316608000 in words is "fifty-five trillion, five hundred six billion, three hundred sixteen million, six hundred eight thousand".