1958903663808 has 1344 divisors, whose sum is σ = 7173156372480. Its totient is φ = 465763737600.

The previous prime is 1958903663797. The next prime is 1958903663833. The reversal of 1958903663808 is 8083663098591.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5114630785 + ... + 5114631167.

It is an arithmetic number, because the mean of its divisors is an integer number (5337169920).

Almost surely, 2^{1958903663808} 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 1958903663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586578186240).

1958903663808 is an abundant number, since it is smaller than the sum of its proper divisors (5214252708672).

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

1958903663808 is a wasteful number, since it uses less digits than its factorization.

1958903663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 1958903663808 in words is "one trillion, nine hundred fifty-eight billion, nine hundred three million, six hundred sixty-three thousand, eight hundred eight".