825344524721280 has 1024 divisors, whose sum is σ = 2720954890598400. Its totient is φ = 212722558304256.

The previous prime is 825344524721263. The next prime is 825344524721351. The reversal of 825344524721280 is 82127425443528.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 825344524721280.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1333351412811 + ... + 1333351413429.

It is an arithmetic number, because the mean of its divisors is an integer number (2657182510350).

Almost surely, 2^{825344524721280} is an apocalyptic number.

825344524721280 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 825344524721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360477445299200).

825344524721280 is an abundant number, since it is smaller than the sum of its proper divisors (1895610365877120).

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

825344524721280 is a wasteful number, since it uses less digits than its factorization.

825344524721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 57.

The spelling of 825344524721280 in words is "eight hundred twenty-five trillion, three hundred forty-four billion, five hundred twenty-four million, seven hundred twenty-one thousand, two hundred eighty".