5189817600 has 324 divisors, whose sum is σ = 20244037632. Its totient is φ = 1257984000.

The previous prime is 5189817593. The next prime is 5189817629. The reversal of 5189817600 is 67189815.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629505 + ... + 637695.

Almost surely, 2^5189817600 is an apocalyptic number.

5189817600 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 5189817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122018816).

5189817600 is an abundant number, since it is smaller than the sum of its proper divisors (15054220032).

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

5189817600 is a wasteful number, since it uses less digits than its factorization.

5189817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 5189817600 is about 72040.3886719110. The cubic root of 5189817600 is about 1731.3466521477.

The spelling of 5189817600 in words is "five billion, one hundred eighty-nine million, eight hundred seventeen thousand, six hundred".