1965599999982 has 96 divisors (see below), whose sum is σ = 4603637376000. Its totient is φ = 604226226240.

The previous prime is 1965599999977. The next prime is 1965599999989. The reversal of 1965599999982 is 2899999955691.

1965599999982 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 599 + 9 + 9 + 9 + 9 + 8 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1965599999892 and 1965599999901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965599999989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405944 + ... + 2430612.

It is an arithmetic number, because the mean of its divisors is an integer number (47954556000).

Almost surely, 2^{1965599999982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965599999982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301818688000).

1965599999982 is an abundant number, since it is smaller than the sum of its proper divisors (2638037376018).

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

1965599999982 is a wasteful number, since it uses less digits than its factorization.

1965599999982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024846 (or 1024843 counting only the distinct ones).

The product of its digits is 11479125600, while the sum is 90.

The spelling of 1965599999982 in words is "one trillion, nine hundred sixty-five billion, five hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred eighty-two".