825800875600 has 30 divisors (see below), whose sum is σ = 1983986604590. Its totient is φ = 330320350080.

The previous prime is 825800875591. The next prime is 825800875607. The reversal of 825800875600 is 6578008528.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4986619456 + 820814256144 = 70616^2 + 905988^2 .

It is a super-2 number, since 2×825800875600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825800875607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1032250695 + ... + 1032251494.

Almost surely, 2^825800875600 is an apocalyptic number.

825800875600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825800875600 is an abundant number, since it is smaller than the sum of its proper divisors (1158185728990).

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

825800875600 is a wasteful number, since it uses less digits than its factorization.

825800875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064502207 (or 2064502196 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 825800875600 in words is "eight hundred twenty-five billion, eight hundred million, eight hundred seventy-five thousand, six hundred".