5182943432436 has 1440 divisors, whose sum is σ = 18762581376000. Its totient is φ = 1233283242240.

The previous prime is 5182943432431. The next prime is 5182943432449. The reversal of 5182943432436 is 6342343492815.

5182943432436 is a `hidden beast` number, since 5 + 1 + 8 + 294 + 343 + 2 + 4 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5182943432431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31797198891 + ... + 31797199053.

It is an arithmetic number, because the mean of its divisors is an integer number (13029570400).

Almost surely, 2^{5182943432436} 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 5182943432436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381290688000).

5182943432436 is an abundant number, since it is smaller than the sum of its proper divisors (13579637943564).

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

5182943432436 is a wasteful number, since it uses less digits than its factorization.

5182943432436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 242 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 5182943432436 in words is "five trillion, one hundred eighty-two billion, nine hundred forty-three million, four hundred thirty-two thousand, four hundred thirty-six".