5295825792 has 128 divisors (see below), whose sum is σ = 15864019200. Its totient is φ = 1738851840.

The previous prime is 5295825767. The next prime is 5295825797. The reversal of 5295825792 is 2975285925.

It is a happy number.

5295825792 is a `hidden beast` number, since 5 + 2 + 9 + 582 + 57 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (5295825797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220117 + ... + 242987.

It is an arithmetic number, because the mean of its divisors is an integer number (123937650).

Almost surely, 2^5295825792 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 5295825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932009600).

5295825792 is an abundant number, since it is smaller than the sum of its proper divisors (10568193408).

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

5295825792 is a wasteful number, since it uses less digits than its factorization.

5295825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22943 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5295825792 is about 72772.4246675896. The cubic root of 5295825792 is about 1743.0555585574.

The spelling of 5295825792 in words is "five billion, two hundred ninety-five million, eight hundred twenty-five thousand, seven hundred ninety-two".