5189418720 has 288 divisors, whose sum is σ = 18325131552. Its totient is φ = 1336283136.

The previous prime is 5189418709. The next prime is 5189418721. The reversal of 5189418720 is 278149815.

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (5189418721) 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, 9217159 + ... + 9217721.

It is an arithmetic number, because the mean of its divisors is an integer number (63628929).

Almost surely, 2^5189418720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5189418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9162565776).

5189418720 is an abundant number, since it is smaller than the sum of its proper divisors (13135712832).

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

5189418720 is a wasteful number, since it uses less digits than its factorization.

5189418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 5189418720 is about 72037.6201716853. The cubic root of 5189418720 is about 1731.3022949532.

The spelling of 5189418720 in words is "five billion, one hundred eighty-nine million, four hundred eighteen thousand, seven hundred twenty".