5182552095840 has 768 divisors, whose sum is σ = 21710094336000. Its totient is φ = 1143719958528.

The previous prime is 5182552095731. The next prime is 5182552095881. The reversal of 5182552095840 is 485902552815.

5182552095840 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 5 + 52 + 0 + 9 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70997281 + ... + 71070239.

It is an arithmetic number, because the mean of its divisors is an integer number (28268352000).

Almost surely, 2^{5182552095840} 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 5182552095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855047168000).

5182552095840 is an abundant number, since it is smaller than the sum of its proper divisors (16527542240160).

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

5182552095840 is an equidigital number, since it uses as much as digits as its factorization.

5182552095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73031 (or 73005 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 5182552095840 in words is "five trillion, one hundred eighty-two billion, five hundred fifty-two million, ninety-five thousand, eight hundred forty".