6986105953920 has 128 divisors (see below), whose sum is σ = 24742458648000. Its totient is φ = 1862961583104.

The previous prime is 6986105953909. The next prime is 6986105953927. The reversal of 6986105953920 is 293595016896.

6986105953920 is a `hidden beast` number, since 6 + 9 + 8 + 6 + 1 + 0 + 595 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6986105953927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 202126990 + ... + 202161549.

Almost surely, 2^{6986105953920} is an apocalyptic number.

6986105953920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6986105953920 is an abundant number, since it is smaller than the sum of its proper divisors (17756352694080).

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

6986105953920 is a wasteful number, since it uses less digits than its factorization.

6986105953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404288567 (or 404288549 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 6986105953920 in words is "six trillion, nine hundred eighty-six billion, one hundred five million, nine hundred fifty-three thousand, nine hundred twenty".