25897305600 has 360 divisors, whose sum is σ = 94957094232. Its totient is φ = 6736281600.

The previous prime is 25897305563. The next prime is 25897305613. The reversal of 25897305600 is 650379852.

It is a happy number.

25897305600 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 7 + 30 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4720459 + ... + 4725941.

Almost surely, 2^25897305600 is an apocalyptic number.

25897305600 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 25897305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47478547116).

25897305600 is an abundant number, since it is smaller than the sum of its proper divisors (69059788632).

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

25897305600 is a wasteful number, since it uses less digits than its factorization.

25897305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25897305600 in words is "twenty-five billion, eight hundred ninety-seven million, three hundred five thousand, six hundred".