825210477312 has 144 divisors (see below), whose sum is σ = 2366571472608. Its totient is φ = 253764403200.

The previous prime is 825210477253. The next prime is 825210477347. The reversal of 825210477312 is 213774012528.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17958238 + ... + 18004130.

Almost surely, 2^825210477312 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 825210477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183285736304).

825210477312 is an abundant number, since it is smaller than the sum of its proper divisors (1541360995296).

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

825210477312 is a wasteful number, since it uses less digits than its factorization.

825210477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47726 (or 47712 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 825210477312 in words is "eight hundred twenty-five billion, two hundred ten million, four hundred seventy-seven thousand, three hundred twelve".