5163744000 has 432 divisors, whose sum is σ = 18223077600. Its totient is φ = 1295769600.

The previous prime is 5163743969. The next prime is 5163744023. The reversal of 5163744000 is 4473615.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34655926 + ... + 34656074.

It is an arithmetic number, because the mean of its divisors is an integer number (42183050).

Almost surely, 2^5163744000 is an apocalyptic number.

5163744000 is a gapful number since it is divisible by the number (50) 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 5163744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111538800).

5163744000 is an abundant number, since it is smaller than the sum of its proper divisors (13059333600).

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

5163744000 is a wasteful number, since it uses less digits than its factorization.

5163744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5163744000 is about 71859.1956537227. The cubic root of 5163744000 is about 1728.4423593137.

The spelling of 5163744000 in words is "five billion, one hundred sixty-three million, seven hundred forty-four thousand".