25950966905952 has 144 divisors (see below), whose sum is σ = 85242681577872. Its totient is φ = 7401345269760.

The previous prime is 25950966905951. The next prime is 25950966905989.

25950966905952 is a `hidden beast` number, since 2 + 5 + 9 + 509 + 6 + 69 + 0 + 5 + 9 + 52 = 666.

25950966905952 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25950966905951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240875353 + ... + 240983064.

It is an arithmetic number, because the mean of its divisors is an integer number (591963066513).

Almost surely, 2^{25950966905952} is an apocalyptic number.

25950966905952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25950966905952 is an abundant number, since it is smaller than the sum of its proper divisors (59291714671920).

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

25950966905952 is a wasteful number, since it uses less digits than its factorization.

25950966905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481858461 (or 481858450 counting only the distinct ones).

The product of its (nonzero) digits is 590490000, while the sum is 72.

The spelling of 25950966905952 in words is "twenty-five trillion, nine hundred fifty billion, nine hundred sixty-six million, nine hundred five thousand, nine hundred fifty-two".