5185138385856 has 672 divisors, whose sum is σ = 16804416577536. Its totient is φ = 1397260800000.

The previous prime is 5185138385851. The next prime is 5185138385879. The reversal of 5185138385856 is 6585838315815.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185138385851) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2777255835 + ... + 2777257701.

It is an arithmetic number, because the mean of its divisors is an integer number (25006572288).

Almost surely, 2^{5185138385856} 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 5185138385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402208288768).

5185138385856 is an abundant number, since it is smaller than the sum of its proper divisors (11619278191680).

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

5185138385856 is a wasteful number, since it uses less digits than its factorization.

5185138385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2178 counting only the distinct ones).

The product of its digits is 138240000, while the sum is 66.

The spelling of 5185138385856 in words is "five trillion, one hundred eighty-five billion, one hundred thirty-eight million, three hundred eighty-five thousand, eight hundred fifty-six".