1982688865920 has 576 divisors, whose sum is σ = 8259268399200. Its totient is φ = 453184284672.

The previous prime is 1982688865919. The next prime is 1982688865987. The reversal of 1982688865920 is 295688862891.

1982688865920 is a `hidden beast` number, since 1 + 9 + 8 + 26 + 8 + 8 + 8 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7490391 + ... + 7750569.

Almost surely, 2^{1982688865920} is an apocalyptic number.

1982688865920 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 1982688865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129634199600).

1982688865920 is an abundant number, since it is smaller than the sum of its proper divisors (6276579533280).

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

1982688865920 is an equidigital number, since it uses as much as digits as its factorization.

1982688865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260227 (or 260196 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 1982688865920 in words is "one trillion, nine hundred eighty-two billion, six hundred eighty-eight million, eight hundred sixty-five thousand, nine hundred twenty".