1009385319600 has 540 divisors, whose sum is σ = 4169533652856. Its totient is φ = 225349447680.

The previous prime is 1009385319587. The next prime is 1009385319601. The reversal of 1009385319600 is 69135839001.

1009385319600 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 8 + 5 + 31 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1009385319601) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 7518664 + ... + 7651736.

Almost surely, 2^{1009385319600} is an apocalyptic number.

1009385319600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009385319600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084766826428).

1009385319600 is an abundant number, since it is smaller than the sum of its proper divisors (3160148333256).

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

1009385319600 is a wasteful number, since it uses less digits than its factorization.

1009385319600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133154 (or 133133 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1009385319600 in words is "one trillion, nine billion, three hundred eighty-five million, three hundred nineteen thousand, six hundred".