1961759405760 has 1344 divisors, whose sum is σ = 8546643694080. Its totient is φ = 375676600320.

The previous prime is 1961759405737. The next prime is 1961759405773. The reversal of 1961759405760 is 675049571691.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1961759405694 and 1961759405703.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363757624 + ... + 363763016.

Almost surely, 2^{1961759405760} is an apocalyptic number.

1961759405760 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 1961759405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273321847040).

1961759405760 is an abundant number, since it is smaller than the sum of its proper divisors (6584884288320).

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

1961759405760 is a wasteful number, since it uses less digits than its factorization.

1961759405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 1961759405760 in words is "one trillion, nine hundred sixty-one billion, seven hundred fifty-nine million, four hundred five thousand, seven hundred sixty".