816008888960 has 64 divisors (see below), whose sum is σ = 2065522527720. Its totient is φ = 307203342336.

The previous prime is 816008888941. The next prime is 816008888963. The reversal of 816008888960 is 69888800618.

It can be written as a sum of positive squares in 4 ways, for example, as 744189176896 + 71819712064 = 862664^2 + 267992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 816008888893 and 816008888902.

It is not an unprimeable number, because it can be changed into a prime (816008888963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37489529 + ... + 37511288.

Almost surely, 2^816008888960 is an apocalyptic number.

816008888960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816008888960 is an abundant number, since it is smaller than the sum of its proper divisors (1249513638760).

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

816008888960 is a wasteful number, since it uses less digits than its factorization.

816008888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000853 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 62.

The spelling of 816008888960 in words is "eight hundred sixteen billion, eight million, eight hundred eighty-eight thousand, nine hundred sixty".