55742473728000 has 1248 divisors, whose sum is σ = 214037883433920. Its totient is φ = 14461717708800.

The previous prime is 55742473727947. The next prime is 55742473728023. The reversal of 55742473728000 is 82737424755.

It is a happy number.

55742473728000 is a `hidden beast` number, since 5 + 5 + 7 + 424 + 73 + 72 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4603385946 + ... + 4603398054.

It is an arithmetic number, because the mean of its divisors is an integer number (171504714290).

Almost surely, 2^{55742473728000} is an apocalyptic number.

55742473728000 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 55742473728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107018941716960).

55742473728000 is an abundant number, since it is smaller than the sum of its proper divisors (158295409705920).

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

55742473728000 is an equidigital number, since it uses as much as digits as its factorization.

55742473728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 55742473728000 in words is "fifty-five trillion, seven hundred forty-two billion, four hundred seventy-three million, seven hundred twenty-eight thousand".