5095593216000 has 1152 divisors, whose sum is σ = 21150972460800. Its totient is φ = 1155819110400.

The previous prime is 5095593215957. The next prime is 5095593216019. The reversal of 5095593216000 is 6123955905.

5095593216000 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 5 + 9 + 32 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2241790864 + ... + 2241793136.

It is an arithmetic number, because the mean of its divisors is an integer number (18360219150).

Almost surely, 2^{5095593216000} is an apocalyptic number.

5095593216000 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 5095593216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575486230400).

5095593216000 is an abundant number, since it is smaller than the sum of its proper divisors (16055379244800).

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

5095593216000 is a wasteful number, since it uses less digits than its factorization.

5095593216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 5095593216000 in words is "five trillion, ninety-five billion, five hundred ninety-three million, two hundred sixteen thousand".