25705706742720 has 168 divisors, whose sum is σ = 88473868859376. Its totient is φ = 6850439995392.

The previous prime is 25705706742719. The next prime is 25705706742763. The reversal of 25705706742720 is 2724760750752.

It is a happy number.

25705706742720 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 570 + 6 + 7 + 42 + 7 + 20 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1598979 + ... + 7346301.

It is an arithmetic number, because the mean of its divisors is an integer number (526630171782).

Almost surely, 2^{25705706742720} is an apocalyptic number.

25705706742720 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 25705706742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236934429688).

25705706742720 is an abundant number, since it is smaller than the sum of its proper divisors (62768162116656).

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

25705706742720 is a wasteful number, since it uses less digits than its factorization.

25705706742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748899 (or 5748886 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 25705706742720 in words is "twenty-five trillion, seven hundred five billion, seven hundred six million, seven hundred forty-two thousand, seven hundred twenty".