25006642805760 has 1408 divisors, whose sum is σ = 108355396239360. Its totient is φ = 4763772518400.

The previous prime is 25006642805743. The next prime is 25006642805761. The reversal of 25006642805760 is 6750824660052.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25006642805761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696604132 + ... + 696640028.

Almost surely, 2^{25006642805760} is an apocalyptic number.

25006642805760 is a gapful number since it is divisible by the number (20) 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 25006642805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54177698119680).

25006642805760 is an abundant number, since it is smaller than the sum of its proper divisors (83348753433600).

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

25006642805760 is a wasteful number, since it uses less digits than its factorization.

25006642805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35993 (or 35975 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 25006642805760 in words is "twenty-five trillion, six billion, six hundred forty-two million, eight hundred five thousand, seven hundred sixty".