1965500945408 has 352 divisors, whose sum is σ = 5383210425600. Its totient is φ = 706855403520.

The previous prime is 1965500945399. The next prime is 1965500945423. The reversal of 1965500945408 is 8045490055691.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50206610 + ... + 50245742.

Almost surely, 2^{1965500945408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965500945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691605212800).

1965500945408 is an abundant number, since it is smaller than the sum of its proper divisors (3417709480192).

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

1965500945408 is a wasteful number, since it uses less digits than its factorization.

1965500945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39198 (or 39166 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 56.

The spelling of 1965500945408 in words is "one trillion, nine hundred sixty-five billion, five hundred million, nine hundred forty-five thousand, four hundred eight".