827825585000 has 40 divisors (see below), whose sum is σ = 1939595357370. Its totient is φ = 331130232000.

The previous prime is 827825584991. The next prime is 827825585051. The reversal of 827825585000 is 585528728.

It can be written as a sum of positive squares in 5 ways, for example, as 138596865796 + 689228719204 = 372286^2 + 830198^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 827825585000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82777559 + ... + 82787558.

Almost surely, 2^827825585000 is an apocalyptic number.

It is an amenable number.

827825585000 is an abundant number, since it is smaller than the sum of its proper divisors (1111769772370).

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

827825585000 is a wasteful number, since it uses less digits than its factorization.

827825585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165565143 (or 165565124 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 50.

The spelling of 827825585000 in words is "eight hundred twenty-seven billion, eight hundred twenty-five million, five hundred eighty-five thousand".