25261081600 has 264 divisors, whose sum is σ = 65386092800. Its totient is φ = 9665740800.

The previous prime is 25261081597. The next prime is 25261081607. The reversal of 25261081600 is 618016252.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (25261081607) by changing a digit.

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, 110310286 + ... + 110310514.

Almost surely, 2^25261081600 is an apocalyptic number.

25261081600 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 25261081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693046400).

25261081600 is an abundant number, since it is smaller than the sum of its proper divisors (40125011200).

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

25261081600 is a wasteful number, since it uses less digits than its factorization.

25261081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 25261081600 its reverse (618016252), we get a palindrome (25879097852).

The spelling of 25261081600 in words is "twenty-five billion, two hundred sixty-one million, eighty-one thousand, six hundred".