825304628680 has 128 divisors (see below), whose sum is σ = 2234298528000. Its totient is φ = 268021923840.

The previous prime is 825304628669. The next prime is 825304628713. The reversal of 825304628680 is 86826403528.

It is a super-2 number, since 2×825304628680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43407016 + ... + 43426024.

It is an arithmetic number, because the mean of its divisors is an integer number (17455457250).

Almost surely, 2^825304628680 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 825304628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117149264000).

825304628680 is an abundant number, since it is smaller than the sum of its proper divisors (1408993899320).

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

825304628680 is a wasteful number, since it uses less digits than its factorization.

825304628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27207 (or 27203 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 825304628680 in words is "eight hundred twenty-five billion, three hundred four million, six hundred twenty-eight thousand, six hundred eighty".