25406105600 has 288 divisors, whose sum is σ = 67590595800. Its totient is φ = 9469952000.

The previous prime is 25406105597. The next prime is 25406105671. The reversal of 25406105600 is 650160452.

It can be written as a sum of positive squares in 12 ways, for example, as 7965205504 + 17440900096 = 89248^2 + 132064^2 .

It is a super-4 number, since 4×25406105600⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251545550 + ... + 251545650.

Almost surely, 2^25406105600 is an apocalyptic number.

25406105600 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 25406105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33795297900).

25406105600 is an abundant number, since it is smaller than the sum of its proper divisors (42184490200).

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

25406105600 is an equidigital number, since it uses as much as digits as its factorization.

25406105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 25406105600 in words is "twenty-five billion, four hundred six million, one hundred five thousand, six hundred".