1965640808080 has 160 divisors (see below), whose sum is σ = 4760245324800. Its totient is φ = 753927315456.

The previous prime is 1965640808059. The next prime is 1965640808083. The reversal of 1965640808080 is 808080465691.

It is not an unprimeable number, because it can be changed into a prime (1965640808083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 824858569 + ... + 824860951.

It is an arithmetic number, because the mean of its divisors is an integer number (29751533280).

Almost surely, 2^{1965640808080} is an apocalyptic number.

1965640808080 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 1965640808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380122662400).

1965640808080 is an abundant number, since it is smaller than the sum of its proper divisors (2794604516720).

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

1965640808080 is a wasteful number, since it uses less digits than its factorization.

1965640808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 1965640808080 in words is "one trillion, nine hundred sixty-five billion, six hundred forty million, eight hundred eight thousand, eighty".