825564856320 has 480 divisors, whose sum is σ = 2971982973960. Its totient is φ = 220150628352.

The previous prime is 825564856289. The next prime is 825564856321. The reversal of 825564856320 is 23658465528.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁶ ⋅ 3!.

825564856320 is a `hidden beast` number, since 8 + 2 + 5 + 56 + 4 + 8 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825564856321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165112971262 + ... + 165112971266.

Almost surely, 2^825564856320 is an apocalyptic number.

825564856320 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 825564856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485991486980).

825564856320 is an abundant number, since it is smaller than the sum of its proper divisors (2146418117640).

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

825564856320 is an frugal number, since it uses more digits than its factorization.

825564856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 825564856320 in words is "eight hundred twenty-five billion, five hundred sixty-four million, eight hundred fifty-six thousand, three hundred twenty".