5104317600 has 288 divisors, whose sum is σ = 18538813440. Its totient is φ = 1355397120.

The previous prime is 5104317583. The next prime is 5104317629. The reversal of 5104317600 is 67134015.

5104317600 is a `hidden beast` number, since 5 + 1 + 0 + 43 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8272492 + ... + 8273108.

It is an arithmetic number, because the mean of its divisors is an integer number (64370880).

Almost surely, 2^5104317600 is an apocalyptic number.

5104317600 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 5104317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269406720).

5104317600 is an abundant number, since it is smaller than the sum of its proper divisors (13434495840).

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

5104317600 is a wasteful number, since it uses less digits than its factorization.

5104317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5104317600 is about 71444.5071366582. The cubic root of 5104317600 is about 1721.7862280006.

The spelling of 5104317600 in words is "five billion, one hundred four million, three hundred seventeen thousand, six hundred".