25898080924800 has 1536 divisors, whose sum is σ = 110886331392000. Its totient is φ = 5779909509120.

The previous prime is 25898080924717. The next prime is 25898080924819. The reversal of 25898080924800 is 842908089852.

25898080924800 is a `hidden beast` number, since 2 + 589 + 8 + 0 + 8 + 0 + 9 + 2 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 16401570411 + ... + 16401571989.

It is an arithmetic number, because the mean of its divisors is an integer number (72191622000).

Almost surely, 2^{25898080924800} is an apocalyptic number.

25898080924800 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 25898080924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55443165696000).

25898080924800 is an abundant number, since it is smaller than the sum of its proper divisors (84988250467200).

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

25898080924800 is a wasteful number, since it uses less digits than its factorization.

25898080924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 25898080924800 in words is "twenty-five trillion, eight hundred ninety-eight billion, eighty million, nine hundred twenty-four thousand, eight hundred".