25898745600 has 1512 divisors, whose sum is σ = 120229895072. Its totient is φ = 5374771200.

The previous prime is 25898745541. The next prime is 25898745619. The reversal of 25898745600 is 654789852.

25898745600 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 8 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 424569570 + ... + 424569630.

Almost surely, 2^25898745600 is an apocalyptic number.

25898745600 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 25898745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60114947536).

25898745600 is an abundant number, since it is smaller than the sum of its proper divisors (94331149472).

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

25898745600 is an equidigital number, since it uses as much as digits as its factorization.

25898745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 25898745600 in words is "twenty-five billion, eight hundred ninety-eight million, seven hundred forty-five thousand, six hundred".