25821427104 has 288 divisors, whose sum is σ = 83130405120. Its totient is φ = 7791759360.

The previous prime is 25821427097. The next prime is 25821427117. The reversal of 25821427104 is 40172412852.

25821427104 is a `hidden beast` number, since 2 + 582 + 1 + 4 + 2 + 71 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38367312 + ... + 38367984.

It is an arithmetic number, because the mean of its divisors is an integer number (288647240).

Almost surely, 2^25821427104 is an apocalyptic number.

25821427104 is a gapful number since it is divisible by the number (24) 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 25821427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41565202560).

25821427104 is an abundant number, since it is smaller than the sum of its proper divisors (57308978016).

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

25821427104 is a wasteful number, since it uses less digits than its factorization.

25821427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 25821427104 its reverse (40172412852), we get a palindrome (65993839956).

The spelling of 25821427104 in words is "twenty-five billion, eight hundred twenty-one million, four hundred twenty-seven thousand, one hundred four".