825239500800 has 576 divisors, whose sum is σ = 3205156106880. Its totient is φ = 184664064000.

The previous prime is 825239500777. The next prime is 825239500861. The reversal of 825239500800 is 8005932528.

It is a congruent number.

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, 21946015 + ... + 21983585.

It is an arithmetic number, because the mean of its divisors is an integer number (5564507130).

Almost surely, 2^825239500800 is an apocalyptic number.

825239500800 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 825239500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602578053440).

825239500800 is an abundant number, since it is smaller than the sum of its proper divisors (2379916606080).

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

825239500800 is a wasteful number, since it uses less digits than its factorization.

825239500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37630 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 825239500800 in words is "eight hundred twenty-five billion, two hundred thirty-nine million, five hundred thousand, eight hundred".