1011684803360 has 288 divisors, whose sum is σ = 3053209541760. Its totient is φ = 313238016000.

The previous prime is 1011684803357. The next prime is 1011684803369. The reversal of 1011684803360 is 633084861101.

It is a super-2 number, since 2×1011684803360² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011684803369) 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 47 ways as a sum of consecutive naturals, for example, 12983396 + ... + 13061084.

It is an arithmetic number, because the mean of its divisors is an integer number (10601422020).

Almost surely, 2^{1011684803360} is an apocalyptic number.

1011684803360 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 1011684803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526604770880).

1011684803360 is an abundant number, since it is smaller than the sum of its proper divisors (2041524738400).

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

1011684803360 is a wasteful number, since it uses less digits than its factorization.

1011684803360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77880 (or 77865 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 1011684803360 in words is "one trillion, eleven billion, six hundred eighty-four million, eight hundred three thousand, three hundred sixty".