5194373184000 has 5400 divisors, whose sum is σ = 26789412453804. Its totient is φ = 996323328000.

The previous prime is 5194373183999. The next prime is 5194373184019. The reversal of 5194373184000 is 4813734915.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 227322982656 + 4967050201344 = 476784^2 + 2228688^2 .

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 539 ways as a sum of consecutive naturals, for example, 399567167994 + ... + 399567168006.

Almost surely, 2^{5194373184000} is an apocalyptic number.

5194373184000 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 5194373184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394706226902).

5194373184000 is an abundant number, since it is smaller than the sum of its proper divisors (21595039269804).

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

5194373184000 is a wasteful number, since it uses less digits than its factorization.

5194373184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5194373184000 in words is "five trillion, one hundred ninety-four billion, three hundred seventy-three million, one hundred eighty-four thousand".