825582423120 has 960 divisors, whose sum is σ = 3393857779200. Its totient is φ = 164943765504.

The previous prime is 825582423119. The next prime is 825582423161. The reversal of 825582423120 is 21324285528.

It is a super-3 number, since 3×825582423120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386326692 + ... + 386328828.

It is an arithmetic number, because the mean of its divisors is an integer number (3535268520).

Almost surely, 2^825582423120 is an apocalyptic number.

825582423120 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 825582423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696928889600).

825582423120 is an abundant number, since it is smaller than the sum of its proper divisors (2568275356080).

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

825582423120 is a wasteful number, since it uses less digits than its factorization.

825582423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 825582423120 in words is "eight hundred twenty-five billion, five hundred eighty-two million, four hundred twenty-three thousand, one hundred twenty".