5219168640 has 512 divisors, whose sum is σ = 20558499840. Its totient is φ = 1099038720.

The previous prime is 5219168609. The next prime is 5219168641. The reversal of 5219168640 is 468619125.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5219168592 and 5219168601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219168641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12109225 + ... + 12109655.

It is an arithmetic number, because the mean of its divisors is an integer number (40153320).

Almost surely, 2^5219168640 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 5219168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10279249920).

5219168640 is an abundant number, since it is smaller than the sum of its proper divisors (15339331200).

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

5219168640 is a wasteful number, since it uses less digits than its factorization.

5219168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5219168640 is about 72243.8138528137. The cubic root of 5219168640 is about 1734.6043983950.

The spelling of 5219168640 in words is "five billion, two hundred nineteen million, one hundred sixty-eight thousand, six hundred forty".