55381860727200 has 864 divisors, whose sum is σ = 226563555254400. Its totient is φ = 12467797032960.

The previous prime is 55381860727159. The next prime is 55381860727201. The reversal of 55381860727200 is 272706818355.

55381860727200 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 1 + 8 + 607 + 2 + 7 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (55381860727201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2718918616 + ... + 2718938984.

It is an arithmetic number, because the mean of its divisors is an integer number (262226337100).

Almost surely, 2^{55381860727200} is an apocalyptic number.

55381860727200 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 55381860727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113281777627200).

55381860727200 is an abundant number, since it is smaller than the sum of its proper divisors (171181694527200).

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

55381860727200 is a wasteful number, since it uses less digits than its factorization.

55381860727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214 (or 21198 counting only the distinct ones).

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

The spelling of 55381860727200 in words is "fifty-five trillion, three hundred eighty-one billion, eight hundred sixty million, seven hundred twenty-seven thousand, two hundred".