1965828901950 has 384 divisors, whose sum is σ = 5862481920000. Its totient is φ = 482800176000.

The previous prime is 1965828901937. The next prime is 1965828901963. The reversal of 1965828901950 is 591098285691.

It is an interprime number because it is at equal distance from previous prime (1965828901937) and next prime (1965828901963).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 182032651 + ... + 182043449.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880000).

Almost surely, 2^{1965828901950} is an apocalyptic number.

1965828901950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965828901950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931240960000).

1965828901950 is an abundant number, since it is smaller than the sum of its proper divisors (3896653018050).

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

1965828901950 is a wasteful number, since it uses less digits than its factorization.

1965828901950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 1965828901950 in words is "one trillion, nine hundred sixty-five billion, eight hundred twenty-eight million, nine hundred one thousand, nine hundred fifty".