1959685668864 has 360 divisors, whose sum is σ = 7058087295168. Its totient is φ = 509006315520.

The previous prime is 1959685668827. The next prime is 1959685668881. The reversal of 1959685668864 is 4688665869591.

It is a happy number.

1959685668864 is a `hidden beast` number, since 19 + 596 + 8 + 5 + 6 + 6 + 8 + 8 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11267814 + ... + 11440410.

Almost surely, 2^{1959685668864} is an apocalyptic number.

1959685668864 is a gapful number since it is divisible by the number (14) 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 1959685668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529043647584).

1959685668864 is an abundant number, since it is smaller than the sum of its proper divisors (5098401626304).

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

1959685668864 is a wasteful number, since it uses less digits than its factorization.

1959685668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172649 (or 172620 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 1959685668864 in words is "one trillion, nine hundred fifty-nine billion, six hundred eighty-five million, six hundred sixty-eight thousand, eight hundred sixty-four".