5184878400 has 252 divisors, whose sum is σ = 19846558732. Its totient is φ = 1276231680.

The previous prime is 5184878389. The next prime is 5184878417. The reversal of 5184878400 is 48784815.

It can be written as a sum of positive squares in 6 ways, for example, as 2022840576 + 3162037824 = 44976^2 + 56232^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173352 + ... + 201048.

Almost surely, 2^5184878400 is an apocalyptic number.

5184878400 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 5184878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923279366).

5184878400 is an abundant number, since it is smaller than the sum of its proper divisors (14661680332).

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

5184878400 is a wasteful number, since it uses less digits than its factorization.

5184878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27738 (or 27720 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 5184878400 is about 72006.0997416191. The cubic root of 5184878400 is about 1730.7972313191.

The spelling of 5184878400 in words is "five billion, one hundred eighty-four million, eight hundred seventy-eight thousand, four hundred".