5094117600 has 288 divisors, whose sum is σ = 19481503104. Its totient is φ = 1139865600.

The previous prime is 5094117599. The next prime is 5094117629. The reversal of 5094117600 is 67114905.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335779 + ... + 350621.

It is an arithmetic number, because the mean of its divisors is an integer number (67644108).

Almost surely, 2^5094117600 is an apocalyptic number.

5094117600 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 5094117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9740751552).

5094117600 is an abundant number, since it is smaller than the sum of its proper divisors (14387385504).

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

5094117600 is a wasteful number, since it uses less digits than its factorization.

5094117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 5094117600 is about 71373.0873649165. The cubic root of 5094117600 is about 1720.6385766624.

The spelling of 5094117600 in words is "five billion, ninety-four million, one hundred seventeen thousand, six hundred".