5181775872 has 336 divisors, whose sum is σ = 17361785952. Its totient is φ = 1362493440.

The previous prime is 5181775861. The next prime is 5181775901. The reversal of 5181775872 is 2785771815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654747 + ... + 15655077.

It is an arithmetic number, because the mean of its divisors is an integer number (51671982).

Almost surely, 2^5181775872 is an apocalyptic number.

5181775872 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 5181775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680892976).

5181775872 is an abundant number, since it is smaller than the sum of its proper divisors (12180010080).

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

5181775872 is a wasteful number, since it uses less digits than its factorization.

5181775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its digits is 1097600, while the sum is 51.

The square root of 5181775872 is about 71984.5530096562. The cubic root of 5181775872 is about 1730.4519375703.

The spelling of 5181775872 in words is "five billion, one hundred eighty-one million, seven hundred seventy-five thousand, eight hundred seventy-two".