825760849536 has 768 divisors, whose sum is σ = 3068170444800. Its totient is φ = 213744199680.

The previous prime is 825760849531. The next prime is 825760849549. The reversal of 825760849536 is 635948067528.

It is a happy number.

825760849536 is a `hidden beast` number, since 8 + 2 + 57 + 6 + 0 + 8 + 49 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (825760849531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200864121 + ... + 200868231.

It is an arithmetic number, because the mean of its divisors is an integer number (3995013600).

Almost surely, 2^825760849536 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 825760849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534085222400).

825760849536 is an abundant number, since it is smaller than the sum of its proper divisors (2242409595264).

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

825760849536 is a wasteful number, since it uses less digits than its factorization.

825760849536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 825760849536 in words is "eight hundred twenty-five billion, seven hundred sixty million, eight hundred forty-nine thousand, five hundred thirty-six".