1008609608800 has 36 divisors (see below), whose sum is σ = 2462268209436. Its totient is φ = 403443843200.

The previous prime is 1008609608777. The next prime is 1008609608803. The reversal of 1008609608800 is 88069068001.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008609608803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 630380206 + ... + 630381805.

It is an arithmetic number, because the mean of its divisors is an integer number (68396339151).

Almost surely, 2^{1008609608800} is an apocalyptic number.

1008609608800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008609608800 is an abundant number, since it is smaller than the sum of its proper divisors (1453658600636).

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

1008609608800 is a wasteful number, since it uses less digits than its factorization.

1008609608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260762031 (or 1260762018 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 1008609608800 in words is "one trillion, eight billion, six hundred nine million, six hundred eight thousand, eight hundred".