1982555688960 has 3120 divisors, whose sum is σ = 9566805967488. Its totient is φ = 383055298560.

The previous prime is 1982555688929. The next prime is 1982555689021. The reversal of 1982555688960 is 698865552891.

1982555688960 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 5 + 556 + 8 + 8 + 9 + 60 = 666.

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 239 ways as a sum of consecutive naturals, for example, 23886213079 + ... + 23886213161.

Almost surely, 2^{1982555688960} is an apocalyptic number.

1982555688960 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 1982555688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783402983744).

1982555688960 is an abundant number, since it is smaller than the sum of its proper divisors (7584250278528).

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

1982555688960 is a wasteful number, since it uses less digits than its factorization.

1982555688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 72.

The spelling of 1982555688960 in words is "one trillion, nine hundred eighty-two billion, five hundred fifty-five million, six hundred eighty-eight thousand, nine hundred sixty".