25805201408 has 224 divisors, whose sum is σ = 63300766464. Its totient is φ = 10267656192.

The previous prime is 25805201407. The next prime is 25805201413. The reversal of 25805201408 is 80410250852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25805201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100409216 + ... + 100409472.

Almost surely, 2^25805201408 is an apocalyptic number.

25805201408 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 25805201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650383232).

25805201408 is an abundant number, since it is smaller than the sum of its proper divisors (37495565056).

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

25805201408 is a wasteful number, since it uses less digits than its factorization.

25805201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 25805201408 in words is "twenty-five billion, eight hundred five million, two hundred one thousand, four hundred eight".