5181086592 has 384 divisors, whose sum is σ = 17776886400. Its totient is φ = 1485527040.

The previous prime is 5181086567. The next prime is 5181086663. The reversal of 5181086592 is 2956801815.

It is a happy number.

5181086592 is a `hidden beast` number, since 51 + 8 + 1 + 0 + 8 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6500338 + ... + 6501134.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 2^5181086592 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 5181086592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888443200).

5181086592 is an abundant number, since it is smaller than the sum of its proper divisors (12595799808).

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

5181086592 is a wasteful number, since it uses less digits than its factorization.

5181086592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5181086592 is about 71979.7651566049. The cubic root of 5181086592 is about 1730.3752059097.

The spelling of 5181086592 in words is "five billion, one hundred eighty-one million, eighty-six thousand, five hundred ninety-two".