5136004800 has 336 divisors, whose sum is σ = 19039332000. Its totient is φ = 1346457600.

The previous prime is 5136004799. The next prime is 5136004807. The reversal of 5136004800 is 84006315.

5136004800 is a `hidden beast` number, since 5 + 13 + 600 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5136004807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2634226 + ... + 2636174.

Almost surely, 2^5136004800 is an apocalyptic number.

5136004800 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 5136004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519666000).

5136004800 is an abundant number, since it is smaller than the sum of its proper divisors (13903327200).

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

5136004800 is a wasteful number, since it uses less digits than its factorization.

5136004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5136004800 is about 71665.9249574022. The cubic root of 5136004800 is about 1725.3417848276.

It can be divided in two parts, 513600 and 4800, that added together give a square (518400 = 720²).

The spelling of 5136004800 in words is "five billion, one hundred thirty-six million, four thousand, eight hundred".