25451000288 has 96 divisors (see below), whose sum is σ = 60902440704. Its totient is φ = 10220378112.

The previous prime is 25451000287. The next prime is 25451000291. The reversal of 25451000288 is 88200015452.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25451000287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849695 + ... + 879137.

It is an arithmetic number, because the mean of its divisors is an integer number (634400424).

Almost surely, 2^25451000288 is an apocalyptic number.

25451000288 is a gapful number since it is divisible by the number (28) 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 25451000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451220352).

25451000288 is an abundant number, since it is smaller than the sum of its proper divisors (35451440416).

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

25451000288 is a wasteful number, since it uses less digits than its factorization.

25451000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29704 (or 29696 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 25451000288 in words is "twenty-five billion, four hundred fifty-one million, two hundred eighty-eight", and thus it is an aban number.