25808961600 has 252 divisors, whose sum is σ = 96560121840. Its totient is φ = 6520089600.

The previous prime is 25808961599. The next prime is 25808961749. The reversal of 25808961600 is 616980852.

25808961600 is a `hidden beast` number, since 2 + 580 + 8 + 9 + 6 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×25808961600² (a number of 22 digits) contains 22 as substring.

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

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, 226435 + ... + 320765.

Almost surely, 2^25808961600 is an apocalyptic number.

25808961600 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 25808961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280060920).

25808961600 is an abundant number, since it is smaller than the sum of its proper divisors (70751160240).

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

25808961600 is a wasteful number, since it uses less digits than its factorization.

25808961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94378 (or 94360 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 25808961600 in words is "twenty-five billion, eight hundred eight million, nine hundred sixty-one thousand, six hundred".