5049914284800 has 4860 divisors, whose sum is σ = 25109507763648. Its totient is φ = 996323328000.

The previous prime is 5049914284787. The next prime is 5049914284817. The reversal of 5049914284800 is 84824199405.

It is a happy number.

5049914284800 is a `hidden beast` number, since 5 + 0 + 499 + 142 + 8 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5049914284800² (a number of 26 digits) contains 22 as substring.

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 539 ways as a sum of consecutive naturals, for example, 95281401574 + ... + 95281401626.

Almost surely, 2^{5049914284800} is an apocalyptic number.

5049914284800 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 5049914284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554753881824).

5049914284800 is an abundant number, since it is smaller than the sum of its proper divisors (20059593478848).

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

5049914284800 is a wasteful number, since it uses less digits than its factorization.

5049914284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5049914284800 in words is "five trillion, forty-nine billion, nine hundred fourteen million, two hundred eighty-four thousand, eight hundred".