825605242704 has 480 divisors, whose sum is σ = 2697067376640. Its totient is φ = 241373088000.

The previous prime is 825605242697. The next prime is 825605242723. The reversal of 825605242704 is 407242506528.

825605242704 is a `hidden beast` number, since 8 + 2 + 56 + 0 + 524 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 825605242704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756741199 + ... + 756742289.

It is an arithmetic number, because the mean of its divisors is an integer number (5618890368).

Almost surely, 2^825605242704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825605242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348533688320).

825605242704 is an abundant number, since it is smaller than the sum of its proper divisors (1871462133936).

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

825605242704 is a wasteful number, since it uses less digits than its factorization.

825605242704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 825605242704 in words is "eight hundred twenty-five billion, six hundred five million, two hundred forty-two thousand, seven hundred four".