5128421760 has 768 divisors, whose sum is σ = 22852177920. Its totient is φ = 1028505600.

The previous prime is 5128421759. The next prime is 5128421797. The reversal of 5128421760 is 671248215.

5128421760 is a `hidden beast` number, since 512 + 84 + 2 + 1 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13748934 + ... + 13749306.

It is an arithmetic number, because the mean of its divisors is an integer number (29755440).

Almost surely, 2^5128421760 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 5128421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426088960).

5128421760 is an abundant number, since it is smaller than the sum of its proper divisors (17723756160).

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

5128421760 is a wasteful number, since it uses less digits than its factorization.

5128421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5128421760 is about 71612.9999371622. Note that the first 4 decimals coincide. The cubic root of 5128421760 is about 1724.4922412286.

Adding to 5128421760 its reverse (671248215), we get a palindrome (5799669975).

The spelling of 5128421760 in words is "five billion, one hundred twenty-eight million, four hundred twenty-one thousand, seven hundred sixty".