25005440500 has 48 divisors (see below), whose sum is σ = 54731883024. Its totient is φ = 9980198400.

The previous prime is 25005440489. The next prime is 25005440527. The reversal of 25005440500 is 504450052.

It can be written as a sum of positive squares in 8 ways, for example, as 478121956 + 24527318544 = 21866^2 + 156612^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173784 + ... + 283216.

It is an arithmetic number, because the mean of its divisors is an integer number (1140247563).

Almost surely, 2^25005440500 is an apocalyptic number.

25005440500 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 25005440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365941512).

25005440500 is an abundant number, since it is smaller than the sum of its proper divisors (29726442524).

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

25005440500 is a wasteful number, since it uses less digits than its factorization.

25005440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109909 (or 109897 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 25005440500 its reverse (504450052), we get a palindrome (25509890552).

The spelling of 25005440500 in words is "twenty-five billion, five million, four hundred forty thousand, five hundred".