55441729728000 has 3840 divisors, whose sum is σ = 257640909926400. Its totient is φ = 11358240768000.

The previous prime is 55441729727987. The next prime is 55441729728037. The reversal of 55441729728000 is 82792714455.

55441729728000 is a `hidden beast` number, since 5 + 544 + 1 + 7 + 2 + 97 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210805055869 + ... + 210805056131.

It is an arithmetic number, because the mean of its divisors is an integer number (67093986960).

Almost surely, 2^{55441729728000} is an apocalyptic number.

55441729728000 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 55441729728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128820454963200).

55441729728000 is an abundant number, since it is smaller than the sum of its proper divisors (202199180198400).

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

55441729728000 is a wasteful number, since it uses less digits than its factorization.

55441729728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 55441729728000 in words is "fifty-five trillion, four hundred forty-one billion, seven hundred twenty-nine million, seven hundred twenty-eight thousand".