5094196800 has 756 divisors, whose sum is σ = 21489405840. Its totient is φ = 1052620800.

The previous prime is 5094196787. The next prime is 5094196817. The reversal of 5094196800 is 86914905.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28459111 + ... + 28459289.

It is an arithmetic number, because the mean of its divisors is an integer number (28425140).

Almost surely, 2^5094196800 is an apocalyptic number.

5094196800 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 5094196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744702920).

5094196800 is an abundant number, since it is smaller than the sum of its proper divisors (16395209040).

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

5094196800 is a wasteful number, since it uses less digits than its factorization.

5094196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 5094196800 is about 71373.6421937398. The cubic root of 5094196800 is about 1720.6474937363.

It can be divided in two parts, 50941 and 96800, that added together give a palindrome (147741).

The spelling of 5094196800 in words is "five billion, ninety-four million, one hundred ninety-six thousand, eight hundred".