1820116980000 has 600 divisors, whose sum is σ = 7297163097840. Its totient is φ = 441236160000.

The previous prime is 1820116979999. The next prime is 1820116980029. The reversal of 1820116980000 is 896110281.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 17768931 + ... + 17871069.

Almost surely, 2^{1820116980000} is an apocalyptic number.

1820116980000 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 1820116980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648581548920).

1820116980000 is an abundant number, since it is smaller than the sum of its proper divisors (5477046117840).

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

1820116980000 is a wasteful number, since it uses less digits than its factorization.

1820116980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102192 (or 102160 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1820116980000 in words is "one trillion, eight hundred twenty billion, one hundred sixteen million, nine hundred eighty thousand".