5047041600 has 504 divisors, whose sum is σ = 19401693480. Its totient is φ = 1239613440.

The previous prime is 5047041599. The next prime is 5047041613. The reversal of 5047041600 is 61407405.

5047041600 is a `hidden beast` number, since 50 + 4 + 7 + 0 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 807469056 + 4239572544 = 28416^2 + 65112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12974206 + ... + 12974594.

Almost surely, 2^5047041600 is an apocalyptic number.

5047041600 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 5047041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700846740).

5047041600 is an abundant number, since it is smaller than the sum of its proper divisors (14354651880).

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

5047041600 is a wasteful number, since it uses less digits than its factorization.

5047041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5047041600 is about 71042.5337385992. The cubic root of 5047041600 is about 1715.3218831042.

The spelling of 5047041600 in words is "five billion, forty-seven million, forty-one thousand, six hundred".