825099672336 has 80 divisors (see below), whose sum is σ = 2246940829440. Its totient is φ = 260180519040.

The previous prime is 825099672323. The next prime is 825099672343. The reversal of 825099672336 is 633276990528.

It is a self number, because there is not a number n which added to its sum of digits gives 825099672336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24450 + ... + 1284833.

It is an arithmetic number, because the mean of its divisors is an integer number (28086760368).

Almost surely, 2^825099672336 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 825099672336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123470414720).

825099672336 is an abundant number, since it is smaller than the sum of its proper divisors (1421841157104).

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

825099672336 is a wasteful number, since it uses less digits than its factorization.

825099672336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310004 (or 1309998 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 825099672336 in words is "eight hundred twenty-five billion, ninety-nine million, six hundred seventy-two thousand, three hundred thirty-six".