5004848870400 has 528 divisors, whose sum is σ = 17283688665984. Its totient is φ = 1274882949120.

The previous prime is 5004848870389. The next prime is 5004848870407. The reversal of 5004848870400 is 40788484005.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5004848870400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004848870407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1789361802 + ... + 1789364598.

Almost surely, 2^{5004848870400} is an apocalyptic number.

5004848870400 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 5004848870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641844332992).

5004848870400 is an abundant number, since it is smaller than the sum of its proper divisors (12278839795584).

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

5004848870400 is a wasteful number, since it uses less digits than its factorization.

5004848870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 5004848870400 in words is "five trillion, four billion, eight hundred forty-eight million, eight hundred seventy thousand, four hundred".