5471188800000 has 1920 divisors, whose sum is σ = 23089678166016. Its totient is φ = 1118208000000.

The previous prime is 5471188799963. The next prime is 5471188800001. The reversal of 5471188800000 is 88811745.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5471188800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41764799935 + ... + 41764800065.

Almost surely, 2^{5471188800000} is an apocalyptic number.

5471188800000 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 5471188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11544839083008).

5471188800000 is an abundant number, since it is smaller than the sum of its proper divisors (17618489366016).

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

5471188800000 is a wasteful number, since it uses less digits than its factorization.

5471188800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 5471188800000 in words is "five trillion, four hundred seventy-one billion, one hundred eighty-eight million, eight hundred thousand".