25906012761288 has 192 divisors, whose sum is σ = 73187562988800. Its totient is φ = 7578106018560.

The previous prime is 25906012761287. The next prime is 25906012761289. The reversal of 25906012761288 is 88216721060952.

It is an interprime number because it is at equal distance from previous prime (25906012761287) and next prime (25906012761289).

It is a super-2 number, since 2×25906012761288² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25906012761287) 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 47 ways as a sum of consecutive naturals, for example, 1656069195 + ... + 1656084837.

It is an arithmetic number, because the mean of its divisors is an integer number (381185223900).

Almost surely, 2^{25906012761288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25906012761288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36593781494400).

25906012761288 is an abundant number, since it is smaller than the sum of its proper divisors (47281550227512).

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

25906012761288 is a wasteful number, since it uses less digits than its factorization.

25906012761288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23180 (or 23147 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 25906012761288 in words is "twenty-five trillion, nine hundred six billion, twelve million, seven hundred sixty-one thousand, two hundred eighty-eight".