1982586960900 has 576 divisors, whose sum is σ = 7885325862400. Its totient is φ = 416126730240.

The previous prime is 1982586960899. The next prime is 1982586960967. The reversal of 1982586960900 is 90696852891.

1982586960900 is a `hidden beast` number, since 19 + 8 + 2 + 5 + 8 + 6 + 9 + 609 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 47399196 + ... + 47441004.

Almost surely, 2^{1982586960900} is an apocalyptic number.

1982586960900 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 1982586960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942662931200).

1982586960900 is an abundant number, since it is smaller than the sum of its proper divisors (5902738901500).

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

1982586960900 is a wasteful number, since it uses less digits than its factorization.

1982586960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42045 (or 42032 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1982586960900 in words is "one trillion, nine hundred eighty-two billion, five hundred eighty-six million, nine hundred sixty thousand, nine hundred".