1820505984984 has 512 divisors, whose sum is σ = 5651739878400. Its totient is φ = 540530565120.

The previous prime is 1820505984943. The next prime is 1820505985031. The reversal of 1820505984984 is 4894895050281.

1820505984984 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 50 + 5 + 98 + 498 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 694583194 + ... + 694585814.

It is an arithmetic number, because the mean of its divisors is an integer number (11038554450).

Almost surely, 2^{1820505984984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820505984984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825869939200).

1820505984984 is an abundant number, since it is smaller than the sum of its proper divisors (3831233893416).

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

1820505984984 is a wasteful number, since it uses less digits than its factorization.

1820505984984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 1820505984984 in words is "one trillion, eight hundred twenty billion, five hundred five million, nine hundred eighty-four thousand, nine hundred eighty-four".