25772725152 has 240 divisors, whose sum is σ = 80690064840. Its totient is φ = 8041807872.

The previous prime is 25772725129. The next prime is 25772725177. The reversal of 25772725152 is 25152727752.

It is a happy number.

25772725152 is a `hidden beast` number, since 2 + 577 + 2 + 7 + 25 + 1 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23840595216 + 1932129936 = 154404^2 + 43956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25772725098 and 25772725107.

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 39 ways as a sum of consecutive naturals, for example, 8679124 + ... + 8682092.

Almost surely, 2^25772725152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25772725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40345032420).

25772725152 is an abundant number, since it is smaller than the sum of its proper divisors (54917339688).

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

25772725152 is a wasteful number, since it uses less digits than its factorization.

25772725152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3188 counting only the distinct ones).

The product of its digits is 686000, while the sum is 45.

The spelling of 25772725152 in words is "twenty-five billion, seven hundred seventy-two million, seven hundred twenty-five thousand, one hundred fifty-two".