25506054144 has 256 divisors, whose sum is σ = 76502937600. Its totient is φ = 8397914112.

The previous prime is 25506054139. The next prime is 25506054169. The reversal of 25506054144 is 44145060552.

25506054144 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 605 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a junction number, because it is equal to n+sod(n) for n = 25506054099 and 25506054108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112361359 + ... + 112361585.

It is an arithmetic number, because the mean of its divisors is an integer number (298839600).

Almost surely, 2^25506054144 is an apocalyptic number.

25506054144 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 25506054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38251468800).

25506054144 is an abundant number, since it is smaller than the sum of its proper divisors (50996883456).

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

25506054144 is an equidigital number, since it uses as much as digits as its factorization.

25506054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 25506054144 in words is "twenty-five billion, five hundred six million, fifty-four thousand, one hundred forty-four".