5148878400 has 1008 divisors, whose sum is σ = 21667988160. Its totient is φ = 1194393600.

The previous prime is 5148878347. The next prime is 5148878411. The reversal of 5148878400 is 48788415.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125582380 + ... + 125582420.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^5148878400 is an apocalyptic number.

5148878400 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 5148878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

5148878400 is an abundant number, since it is smaller than the sum of its proper divisors (16519109760).

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

5148878400 is a wasteful number, since it uses less digits than its factorization.

5148878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

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

The square root of 5148878400 is about 71755.6854890259. The cubic root of 5148878400 is about 1726.7821279723.

The spelling of 5148878400 in words is "five billion, one hundred forty-eight million, eight hundred seventy-eight thousand, four hundred".