5094459800640 has 2240 divisors, whose sum is σ = 23006538086400. Its totient is φ = 1065160212480.

The previous prime is 5094459800621. The next prime is 5094459800753. The reversal of 5094459800640 is 460089544905.

5094459800640 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 4 + 598 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 5592161785 + ... + 5592162695.

Almost surely, 2^{5094459800640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5094459800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503269043200).

5094459800640 is an abundant number, since it is smaller than the sum of its proper divisors (17912078285760).

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

5094459800640 is a wasteful number, since it uses less digits than its factorization.

5094459800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5094459800640 in words is "five trillion, ninety-four billion, four hundred fifty-nine million, eight hundred thousand, six hundred forty".