5002896412800 has 576 divisors, whose sum is σ = 20972386431360. Its totient is φ = 1119528345600.

The previous prime is 5002896412711. The next prime is 5002896412837. The reversal of 5002896412800 is 82146982005.

5002896412800 is a `hidden beast` number, since 50 + 0 + 28 + 96 + 412 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 3511017 + ... + 4725783.

It is an arithmetic number, because the mean of its divisors is an integer number (36410393110).

Almost surely, 2^{5002896412800} is an apocalyptic number.

5002896412800 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 5002896412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486193215680).

5002896412800 is an abundant number, since it is smaller than the sum of its proper divisors (15969490018560).

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

5002896412800 is a wasteful number, since it uses less digits than its factorization.

5002896412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214821 (or 1214801 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5002896412800 in words is "five trillion, two billion, eight hundred ninety-six million, four hundred twelve thousand, eight hundred".