25606400000 has 144 divisors (see below), whose sum is σ = 64012270140. Its totient is φ = 10240000000.

The previous prime is 25606399999. The next prime is 25606400041. The reversal of 25606400000 is 460652.

It can be written as a sum of positive squares in 6 ways, for example, as 9296045056 + 16310354944 = 96416^2 + 127712^2 .

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 11 ways as a sum of consecutive naturals, for example, 6398000 + ... + 6402000.

Almost surely, 2^25606400000 is an apocalyptic number.

25606400000 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 25606400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006135070).

25606400000 is an abundant number, since it is smaller than the sum of its proper divisors (38405870140).

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

25606400000 is an frugal number, since it uses more digits than its factorization.

25606400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 25606400000 its reverse (460652), we get a palindrome (25606860652).

It can be divided in two parts, 2560 and 6400000, that multiplied together give a square (16384000000 = 128000²).

The spelling of 25606400000 in words is "twenty-five billion, six hundred six million, four hundred thousand".