816923579010 has 128 divisors (see below), whose sum is σ = 2447388131328. Its totient is φ = 169543200000.

The previous prime is 816923578993. The next prime is 816923579039. The reversal of 816923579010 is 10975329618.

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 63 ways as a sum of consecutive naturals, for example, 1681135 + ... + 2111885.

It is an arithmetic number, because the mean of its divisors is an integer number (19120219776).

Almost surely, 2^816923579010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816923579010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223694065664).

816923579010 is an abundant number, since it is smaller than the sum of its proper divisors (1630464552318).

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

816923579010 is a wasteful number, since it uses less digits than its factorization.

816923579010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431600.

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 816923579010 in words is "eight hundred sixteen billion, nine hundred twenty-three million, five hundred seventy-nine thousand, ten".