5188081680 has 240 divisors, whose sum is σ = 17771719680. Its totient is φ = 1356106752.

The previous prime is 5188081673. The next prime is 5188081693. The reversal of 5188081680 is 861808815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11205129 + ... + 11205591.

It is an arithmetic number, because the mean of its divisors is an integer number (74048832).

Almost surely, 2^5188081680 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 5188081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885859840).

5188081680 is an abundant number, since it is smaller than the sum of its proper divisors (12583638000).

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

5188081680 is a wasteful number, since it uses less digits than its factorization.

5188081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 5188081680 is about 72028.3394227578. The cubic root of 5188081680 is about 1731.1535936967.

The spelling of 5188081680 in words is "five billion, one hundred eighty-eight million, eighty-one thousand, six hundred eighty".