5094163872000 has 2160 divisors, whose sum is σ = 23223604884480. Its totient is φ = 1102574592000.

The previous prime is 5094163871983. The next prime is 5094163872011. The reversal of 5094163872000 is 2783614905.

5094163872000 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 1 + 638 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2413150945 + ... + 2413153055.

It is an arithmetic number, because the mean of its divisors is an integer number (10751668928).

It is a 1-persistent number, because it is pandigital, but 2⋅5094163872000 = 10188327744000 is not.

Almost surely, 2^{5094163872000} is an apocalyptic number.

5094163872000 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 5094163872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611802442240).

5094163872000 is an abundant number, since it is smaller than the sum of its proper divisors (18129441012480).

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

5094163872000 is a wasteful number, since it uses less digits than its factorization.

5094163872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2147 counting only the distinct ones).

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

The spelling of 5094163872000 in words is "five trillion, ninety-four billion, one hundred sixty-three million, eight hundred seventy-two thousand".