5014822032000 has 768 divisors, whose sum is σ = 19677764471040. Its totient is φ = 1213793280000.

The previous prime is 5014822031993. The next prime is 5014822032001. The reversal of 5014822032000 is 2302284105.

It is not an unprimeable number, because it can be changed into a prime (5014822032001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176909870 + ... + 1176914130.

It is an arithmetic number, because the mean of its divisors is an integer number (25622089155).

Almost surely, 2^{5014822032000} is an apocalyptic number.

5014822032000 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 5014822032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838882235520).

5014822032000 is an abundant number, since it is smaller than the sum of its proper divisors (14662942439040).

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

5014822032000 is a wasteful number, since it uses less digits than its factorization.

5014822032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 5014822032000 in words is "five trillion, fourteen billion, eight hundred twenty-two million, thirty-two thousand".