5053968192 has 504 divisors, whose sum is σ = 17712037728. Its totient is φ = 1259919360.

The previous prime is 5053968191. The next prime is 5053968209. The reversal of 5053968192 is 2918693505.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053968191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117534123 + ... + 117534165.

It is an arithmetic number, because the mean of its divisors is an integer number (35142932).

Almost surely, 2^5053968192 is an apocalyptic number.

5053968192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5053968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856018864).

5053968192 is an abundant number, since it is smaller than the sum of its proper divisors (12658069536).

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

5053968192 is a wasteful number, since it uses less digits than its factorization.

5053968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5053968192 is about 71091.2666366270. The cubic root of 5053968192 is about 1716.1062306207.

The spelling of 5053968192 in words is "five billion, fifty-three million, nine hundred sixty-eight thousand, one hundred ninety-two".