25263217728 has 336 divisors, whose sum is σ = 85682937600. Its totient is φ = 7112448000.

The previous prime is 25263217723. The next prime is 25263217739. The reversal of 25263217728 is 82771236252.

25263217728 is a `hidden beast` number, since 2 + 5 + 2 + 632 + 1 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (25263217723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14026428 + ... + 14028228.

Almost surely, 2^25263217728 is an apocalyptic number.

25263217728 is a gapful number since it is divisible by the number (28) 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 25263217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42841468800).

25263217728 is an abundant number, since it is smaller than the sum of its proper divisors (60419719872).

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

25263217728 is a wasteful number, since it uses less digits than its factorization.

25263217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1884 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 25263217728 in words is "twenty-five billion, two hundred sixty-three million, two hundred seventeen thousand, seven hundred twenty-eight".