25742625745200 has 960 divisors, whose sum is σ = 102413477117952. Its totient is φ = 5382277632000.

The previous prime is 25742625745121. The next prime is 25742625745229. The reversal of 25742625745200 is 254752624752.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7700454729 + ... + 7700458071.

Almost surely, 2^{25742625745200} is an apocalyptic number.

25742625745200 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 25742625745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206738558976).

25742625745200 is an abundant number, since it is smaller than the sum of its proper divisors (76670851372752).

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

25742625745200 is a wasteful number, since it uses less digits than its factorization.

25742625745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 51.

The spelling of 25742625745200 in words is "twenty-five trillion, seven hundred forty-two billion, six hundred twenty-five million, seven hundred forty-five thousand, two hundred".