1958958907961 has 24 divisors (see below), whose sum is σ = 2266901263200. Its totient is φ = 1686890620800.

The previous prime is 1958958907943. The next prime is 1958958907967. The reversal of 1958958907961 is 1697098598591.

It is not a de Polignac number, because 1958958907961 - 2⁶ = 1958958907897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1958958907967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16311350 + ... + 16431008.

It is an arithmetic number, because the mean of its divisors is an integer number (94454219300).

Almost surely, 2^{1958958907961} is an apocalyptic number.

1958958907961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1958958907961 is a deficient number, since it is larger than the sum of its proper divisors (307942355239).

1958958907961 is a wasteful number, since it uses less digits than its factorization.

1958958907961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126821 (or 126810 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 77.

The spelling of 1958958907961 in words is "one trillion, nine hundred fifty-eight billion, nine hundred fifty-eight million, nine hundred seven thousand, nine hundred sixty-one".