55944830412800 has 1152 divisors, whose sum is σ = 170095413196800. Its totient is φ = 17836277760000.

The previous prime is 55944830412767. The next prime is 55944830412899. The reversal of 55944830412800 is 821403844955.

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, 129202841384 + ... + 129202841816.

It is an arithmetic number, because the mean of its divisors is an integer number (147652268400).

Almost surely, 2^{55944830412800} is an apocalyptic number.

55944830412800 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 55944830412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85047706598400).

55944830412800 is an abundant number, since it is smaller than the sum of its proper divisors (114150582784000).

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

55944830412800 is a wasteful number, since it uses less digits than its factorization.

55944830412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 55944830412800 in words is "fifty-five trillion, nine hundred forty-four billion, eight hundred thirty million, four hundred twelve thousand, eight hundred".