1965878409680 has 80 divisors (see below), whose sum is σ = 4811699531520. Its totient is φ = 744891554304.

The previous prime is 1965878409679. The next prime is 1965878409683. The reversal of 1965878409680 is 869048785691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965878409683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16986089 + ... + 17101431.

It is an arithmetic number, because the mean of its divisors is an integer number (60146244144).

Almost surely, 2^{1965878409680} is an apocalyptic number.

1965878409680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1965878409680 is an abundant number, since it is smaller than the sum of its proper divisors (2845821121840).

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

1965878409680 is a wasteful number, since it uses less digits than its factorization.

1965878409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126588 (or 126582 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 71.

The spelling of 1965878409680 in words is "one trillion, nine hundred sixty-five billion, eight hundred seventy-eight million, four hundred nine thousand, six hundred eighty".