825469000920 has 320 divisors, whose sum is σ = 2808080589600. Its totient is φ = 217471703040.

The previous prime is 825469000907. The next prime is 825469000981. The reversal of 825469000920 is 29000964528.

825469000920 is a `hidden beast` number, since 82 + 546 + 9 + 0 + 0 + 0 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 134855460 + ... + 134861580.

Almost surely, 2^825469000920 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 825469000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404040294800).

825469000920 is an abundant number, since it is smaller than the sum of its proper divisors (1982611588680).

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

825469000920 is a wasteful number, since it uses less digits than its factorization.

825469000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 825469000920 in words is "eight hundred twenty-five billion, four hundred sixty-nine million, nine hundred twenty", and thus it is an aban number.