5054284116000 has 768 divisors, whose sum is σ = 21046776791040. Its totient is φ = 1154113920000.

The previous prime is 5054284115989. The next prime is 5054284116023. The reversal of 5054284116000 is 6114824505.

It is a happy number.

5054284116000 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 2 + 8 + 41 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 930633285 + ... + 930638715.

It is an arithmetic number, because the mean of its divisors is an integer number (27404657280).

Almost surely, 2^{5054284116000} is an apocalyptic number.

5054284116000 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 5054284116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523388395520).

5054284116000 is an abundant number, since it is smaller than the sum of its proper divisors (15992492675040).

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

5054284116000 is a wasteful number, since it uses less digits than its factorization.

5054284116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5054284116000 in words is "five trillion, fifty-four billion, two hundred eighty-four million, one hundred sixteen thousand".