825189120 has 432 divisors, whose sum is σ = 3392712960. Its totient is φ = 188116992.

The previous prime is 825189109. The next prime is 825189137. The reversal of 825189120 is 21981528.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177091 + ... + 2177469.

Almost surely, 2^825189120 is an apocalyptic number.

825189120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696356480).

825189120 is an abundant number, since it is smaller than the sum of its proper divisors (2567523840).

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

825189120 is an equidigital number, since it uses as much as digits as its factorization.

825189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 825189120 is about 28726.1052006707. The cubic root of 825189120 is about 937.9603882751.

825189120 divided by its product of nonzero digits (11520) gives a triangular number (71631 = T₃₇₈).

The spelling of 825189120 in words is "eight hundred twenty-five million, one hundred eighty-nine thousand, one hundred twenty".