21965952195 has 288 divisors, whose sum is σ = 47116532736. Its totient is φ = 9810408960.

The previous prime is 21965952163. The next prime is 21965952221. The reversal of 21965952195 is 59125956912.

21965952195 is a `hidden beast` number, since 21 + 9 + 6 + 5 + 9 + 521 + 95 = 666.

It is not a de Polignac number, because 21965952195 - 2⁵ = 21965952163 is a prime.

It is a nialpdrome in base 15.

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 287 ways as a sum of consecutive naturals, for example, 467360662 + ... + 467360708.

It is an arithmetic number, because the mean of its divisors is an integer number (163599072).

Almost surely, 2^21965952195 is an apocalyptic number.

21965952195 is an abundant number, since it is smaller than the sum of its proper divisors (25150580541).

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

21965952195 is an equidigital number, since it uses as much as digits as its factorization.

21965952195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The spelling of 21965952195 in words is "twenty-one billion, nine hundred sixty-five million, nine hundred fifty-two thousand, one hundred ninety-five".