25960766706952 has 384 divisors, whose sum is σ = 63406051430400. Its totient is φ = 9851335603200.

The previous prime is 25960766706923. The next prime is 25960766706971.

25960766706952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25960766706952² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7793683927 + ... + 7793687257.

It is an arithmetic number, because the mean of its divisors is an integer number (165119925600).

Almost surely, 2^{25960766706952} is an apocalyptic number.

25960766706952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25960766706952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31703025715200).

25960766706952 is an abundant number, since it is smaller than the sum of its proper divisors (37445284723448).

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

25960766706952 is a wasteful number, since it uses less digits than its factorization.

25960766706952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 70.

The spelling of 25960766706952 in words is "twenty-five trillion, nine hundred sixty billion, seven hundred sixty-six million, seven hundred six thousand, nine hundred fifty-two".