5074616944800 has 1296 divisors, whose sum is σ = 20695975372800. Its totient is φ = 1166905958400.

The previous prime is 5074616944757. The next prime is 5074616944823. The reversal of 5074616944800 is 84496164705.

5074616944800 is a `hidden beast` number, since 5 + 0 + 7 + 461 + 69 + 44 + 80 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 1093900881 + ... + 1093905519.

It is an arithmetic number, because the mean of its divisors is an integer number (15969116800).

Almost surely, 2^{5074616944800} is an apocalyptic number.

5074616944800 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 5074616944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347987686400).

5074616944800 is an abundant number, since it is smaller than the sum of its proper divisors (15621358428000).

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

5074616944800 is a wasteful number, since it uses less digits than its factorization.

5074616944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5074616944800 in words is "five trillion, seventy-four billion, six hundred sixteen million, nine hundred forty-four thousand, eight hundred".