25461112320 has 560 divisors, whose sum is σ = 104657810400. Its totient is φ = 5816696832.

The previous prime is 25461112291. The next prime is 25461112331. The reversal of 25461112320 is 2321116452.

25461112320 is a `hidden beast` number, since 2 + 5 + 4 + 611 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13062706 + ... + 13064654.

Almost surely, 2^25461112320 is an apocalyptic number.

25461112320 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 25461112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52328905200).

25461112320 is an abundant number, since it is smaller than the sum of its proper divisors (79196698080).

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

25461112320 is an frugal number, since it uses more digits than its factorization.

25461112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 25461112320 its reverse (2321116452), we get a palindrome (27782228772).

The spelling of 25461112320 in words is "twenty-five billion, four hundred sixty-one million, one hundred twelve thousand, three hundred twenty".