5126181984 has 384 divisors, whose sum is σ = 19290700800. Its totient is φ = 1285079040.

The previous prime is 5126181961. The next prime is 5126182049. The reversal of 5126181984 is 4891816215.

It is a happy number.

5126181984 is a `hidden beast` number, since 5 + 12 + 618 + 19 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1927984 + ... + 1930640.

It is an arithmetic number, because the mean of its divisors is an integer number (50236200).

Almost surely, 2^5126181984 is an apocalyptic number.

5126181984 is a gapful number since it is divisible by the number (54) 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 5126181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645350400).

5126181984 is an abundant number, since it is smaller than the sum of its proper divisors (14164518816).

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

5126181984 is a wasteful number, since it uses less digits than its factorization.

5126181984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2709 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 5126181984 is about 71597.3601747997. The cubic root of 5126181984 is about 1724.2411543155.

The spelling of 5126181984 in words is "five billion, one hundred twenty-six million, one hundred eighty-one thousand, nine hundred eighty-four".