25288520600 has 96 divisors (see below), whose sum is σ = 67232229600. Its totient is φ = 8665574400.

The previous prime is 25288520557. The next prime is 25288520603. The reversal of 25288520600 is 602588252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25288520603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3340820 + ... + 3348380.

It is an arithmetic number, because the mean of its divisors is an integer number (700335725).

Almost surely, 2^25288520600 is an apocalyptic number.

25288520600 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 25288520600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33616114800).

25288520600 is an abundant number, since it is smaller than the sum of its proper divisors (41943709000).

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

25288520600 is a wasteful number, since it uses less digits than its factorization.

25288520600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9973 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 25288520600 in words is "twenty-five billion, two hundred eighty-eight million, five hundred twenty thousand, six hundred".