5188769280 has 480 divisors, whose sum is σ = 19661241600. Its totient is φ = 1307860992.

The previous prime is 5188769273. The next prime is 5188769281. The reversal of 5188769280 is 829678815.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188769281) 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, 11819301 + ... + 11819739.

It is an arithmetic number, because the mean of its divisors is an integer number (40960920).

Almost surely, 2^5188769280 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 5188769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830620800).

5188769280 is an abundant number, since it is smaller than the sum of its proper divisors (14472472320).

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

5188769280 is an equidigital number, since it uses as much as digits as its factorization.

5188769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 5188769280 is about 72033.1123859021. The cubic root of 5188769280 is about 1731.2300695312.

The spelling of 5188769280 in words is "five billion, one hundred eighty-eight million, seven hundred sixty-nine thousand, two hundred eighty".