5385673152 has 168 divisors, whose sum is σ = 16526694912. Its totient is φ = 1737158400.

The previous prime is 5385673133. The next prime is 5385673157. The reversal of 5385673152 is 2513765835.

5385673152 is a `hidden beast` number, since 5 + 3 + 8 + 567 + 31 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5385673098 and 5385673107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385673157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476527 + ... + 487697.

It is an arithmetic number, because the mean of its divisors is an integer number (98373184).

Almost surely, 2^5385673152 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 5385673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263347456).

5385673152 is an abundant number, since it is smaller than the sum of its proper divisors (11141021760).

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

5385673152 is a wasteful number, since it uses less digits than its factorization.

5385673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11207 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 5385673152 is about 73387.1456864211. The cubic root of 5385673152 is about 1752.8577147603.

The spelling of 5385673152 in words is "five billion, three hundred eighty-five million, six hundred seventy-three thousand, one hundred fifty-two".