25864733746852 has 192 divisors, whose sum is σ = 61266943180800. Its totient is φ = 9226691596800.

The previous prime is 25864733746847. The next prime is 25864733746861.

25864733746852 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266854183 + ... + 266951089.

It is an arithmetic number, because the mean of its divisors is an integer number (319098662400).

Almost surely, 2^{25864733746852} is an apocalyptic number.

25864733746852 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 25864733746852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30633471590400).

25864733746852 is an abundant number, since it is smaller than the sum of its proper divisors (35402209433948).

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

25864733746852 is a wasteful number, since it uses less digits than its factorization.

25864733746852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97482 (or 97480 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 70.

The spelling of 25864733746852 in words is "twenty-five trillion, eight hundred sixty-four billion, seven hundred thirty-three million, seven hundred forty-six thousand, eight hundred fifty-two".