825350824800 has 432 divisors, whose sum is σ = 2942160595920. Its totient is φ = 217699614720.

The previous prime is 825350824769. The next prime is 825350824807. The reversal of 825350824800 is 8428053528.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825350824807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640302556 + ... + 640303844.

It is an arithmetic number, because the mean of its divisors is an integer number (6810556935).

Almost surely, 2^825350824800 is an apocalyptic number.

825350824800 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 825350824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471080297960).

825350824800 is an abundant number, since it is smaller than the sum of its proper divisors (2116809771120).

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

825350824800 is a wasteful number, since it uses less digits than its factorization.

825350824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 825350824800 in words is "eight hundred twenty-five billion, three hundred fifty million, eight hundred twenty-four thousand, eight hundred".