25294806741120 has 256 divisors, whose sum is σ = 92527725185280. Its totient is φ = 5757679042560.

The previous prime is 25294806741103. The next prime is 25294806741161. The reversal of 25294806741120 is 2114760849252.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 665637 + ... + 7143716.

It is an arithmetic number, because the mean of its divisors is an integer number (361436426505).

Almost surely, 2^{25294806741120} is an apocalyptic number.

25294806741120 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 25294806741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46263862592640).

25294806741120 is an abundant number, since it is smaller than the sum of its proper divisors (67232918444160).

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

25294806741120 is a wasteful number, since it uses less digits than its factorization.

25294806741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809623 (or 7809611 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 25294806741120 in words is "twenty-five trillion, two hundred ninety-four billion, eight hundred six million, seven hundred forty-one thousand, one hundred twenty".