1321161685830 has 512 divisors, whose sum is σ = 4362190848000. Its totient is φ = 277758097920.

The previous prime is 1321161685817. The next prime is 1321161685969. The reversal of 1321161685830 is 385861611231.

1321161685830 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 6 + 1 + 68 + 583 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 918110251 + ... + 918111689.

It is an arithmetic number, because the mean of its divisors is an integer number (8519904000).

Almost surely, 2^{1321161685830} is an apocalyptic number.

1321161685830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321161685830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181095424000).

1321161685830 is an abundant number, since it is smaller than the sum of its proper divisors (3041029162170).

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

1321161685830 is a wasteful number, since it uses less digits than its factorization.

1321161685830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1321161685830 in words is "one trillion, three hundred twenty-one billion, one hundred sixty-one million, six hundred eighty-five thousand, eight hundred thirty".