5027611680 has 1152 divisors, whose sum is σ = 23115456000. Its totient is φ = 1024192512.

The previous prime is 5027611669. The next prime is 5027611697. The reversal of 5027611680 is 861167205.

5027611680 is a `hidden beast` number, since 502 + 7 + 61 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 173365906 + ... + 173365934.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^5027611680 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 5027611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

5027611680 is an abundant number, since it is smaller than the sum of its proper divisors (18087844320).

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

5027611680 is a wasteful number, since it uses less digits than its factorization.

5027611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5027611680 is about 70905.6533712228. The cubic root of 5027611680 is about 1713.1178574355.

Adding to 5027611680 its reverse (861167205), we get a palindrome (5888778885).

The spelling of 5027611680 in words is "five billion, twenty-seven million, six hundred eleven thousand, six hundred eighty".