5123404800 has 396 divisors, whose sum is σ = 18871350316. Its totient is φ = 1327104000.

The previous prime is 5123404789. The next prime is 5123404817. The reversal of 5123404800 is 84043215.

It can be written as a sum of positive squares in 6 ways, for example, as 372335616 + 4751069184 = 19296^2 + 68928^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8524500 + ... + 8525100.

Almost surely, 2^5123404800 is an apocalyptic number.

5123404800 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 5123404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435675158).

5123404800 is an abundant number, since it is smaller than the sum of its proper divisors (13747945516).

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

5123404800 is a wasteful number, since it uses less digits than its factorization.

5123404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5123404800 is about 71577.9630892078. The cubic root of 5123404800 is about 1723.9297204534.

The spelling of 5123404800 in words is "five billion, one hundred twenty-three million, four hundred four thousand, eight hundred".