25754238125280 has 1152 divisors, whose sum is σ = 112159626808320. Its totient is φ = 5238849208320.

The previous prime is 25754238125221. The next prime is 25754238125293. The reversal of 25754238125280 is 8252183245752.

25754238125280 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 4 + 2 + 381 + 252 + 8 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 1780937250 + ... + 1780951710.

It is an arithmetic number, because the mean of its divisors is an integer number (97360787160).

Almost surely, 2^{25754238125280} is an apocalyptic number.

25754238125280 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 25754238125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56079813404160).

25754238125280 is an abundant number, since it is smaller than the sum of its proper divisors (86405388683040).

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

25754238125280 is a wasteful number, since it uses less digits than its factorization.

25754238125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15072 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 25754238125280 in words is "twenty-five trillion, seven hundred fifty-four billion, two hundred thirty-eight million, one hundred twenty-five thousand, two hundred eighty".