5189836800 has 168 divisors, whose sum is σ = 17162044416. Its totient is φ = 1383792640.

The previous prime is 5189836777. The next prime is 5189836807. The reversal of 5189836800 is 86389815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5189836800.

It is not an unprimeable number, because it can be changed into a prime (5189836807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 610177 + ... + 618623.

Almost surely, 2^5189836800 is an apocalyptic number.

5189836800 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 5189836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581022208).

5189836800 is an abundant number, since it is smaller than the sum of its proper divisors (11972207616).

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

5189836800 is an equidigital number, since it uses as much as digits as its factorization.

5189836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 5189836800 is about 72040.5219303692. The cubic root of 5189836800 is about 1731.3487872140.

The spelling of 5189836800 in words is "five billion, one hundred eighty-nine million, eight hundred thirty-six thousand, eight hundred".