25982628952 has 64 divisors (see below), whose sum is σ = 56999476800. Its totient is φ = 10873958400.

The previous prime is 25982628943. The next prime is 25982628961.

It is a happy number.

25982628952 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25982628943) and next prime (25982628961).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 381424 + ... + 444352.

It is an arithmetic number, because the mean of its divisors is an integer number (890616825).

Almost surely, 2^25982628952 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 25982628952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28499738400).

25982628952 is an abundant number, since it is smaller than the sum of its proper divisors (31016847848).

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

25982628952 is a wasteful number, since it uses less digits than its factorization.

25982628952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63116 (or 63112 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 58.

The spelling of 25982628952 in words is "twenty-five billion, nine hundred eighty-two million, six hundred twenty-eight thousand, nine hundred fifty-two".