55467638784000 has 1600 divisors, whose sum is σ = 212496592651200. Its totient is φ = 14447384985600.

The previous prime is 55467638783969. The next prime is 55467638784029. The reversal of 55467638784000 is 48783676455.

55467638784000 is a `hidden beast` number, since 5 + 5 + 467 + 63 + 8 + 78 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1289945087979 + ... + 1289945088021.

It is an arithmetic number, because the mean of its divisors is an integer number (132810370407).

Almost surely, 2^{55467638784000} is an apocalyptic number.

55467638784000 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 55467638784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106248296325600).

55467638784000 is an abundant number, since it is smaller than the sum of its proper divisors (157028953867200).

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

55467638784000 is an frugal number, since it uses more digits than its factorization.

55467638784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 55467638784000 in words is "fifty-five trillion, four hundred sixty-seven billion, six hundred thirty-eight million, seven hundred eighty-four thousand".