25854472621440 has 576 divisors, whose sum is σ = 94254351544080. Its totient is φ = 6529391616000.

The previous prime is 25854472621363. The next prime is 25854472621447. The reversal of 25854472621440 is 4412627445852.

25854472621440 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 4 + 4 + 7 + 2 + 621 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25854472621447) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 307709035 + ... + 307793045.

Almost surely, 2^{25854472621440} is an apocalyptic number.

25854472621440 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 25854472621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47127175772040).

25854472621440 is an abundant number, since it is smaller than the sum of its proper divisors (68399878922640).

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

25854472621440 is a wasteful number, since it uses less digits than its factorization.

25854472621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84183 (or 84145 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 25854472621440 in words is "twenty-five trillion, eight hundred fifty-four billion, four hundred seventy-two million, six hundred twenty-one thousand, four hundred forty".