55133438976000 has 3024 divisors, whose sum is σ = 254395398970440. Its totient is φ = 11444944896000.

The previous prime is 55133438975983. The next prime is 55133438976001. The reversal of 55133438976000 is 67983433155.

55133438976000 is a `hidden beast` number, since 5 + 5 + 133 + 438 + 9 + 76 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11461854007296 + 43671584968704 = 3385536^2 + 6608448^2 .

It is not an unprimeable number, because it can be changed into a prime (55133438976001) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 54641663496 + ... + 54641664504.

Almost surely, 2^{55133438976000} is an apocalyptic number.

55133438976000 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 55133438976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127197699485220).

55133438976000 is an abundant number, since it is smaller than the sum of its proper divisors (199261959994440).

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

55133438976000 is a wasteful number, since it uses less digits than its factorization.

55133438976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 55133438976000 in words is "fifty-five trillion, one hundred thirty-three billion, four hundred thirty-eight million, nine hundred seventy-six thousand".