25105440400 has 60 divisors (see below), whose sum is σ = 60993612900. Its totient is φ = 9929328640.

The previous prime is 25105440397. The next prime is 25105440457. The reversal of 25105440400 is 404450152.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3943337616 + 21162102784 = 62796^2 + 145472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317005 + ... + 388204.

It is an arithmetic number, because the mean of its divisors is an integer number (1016560215).

Almost surely, 2^25105440400 is an apocalyptic number.

25105440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25105440400 is an abundant number, since it is smaller than the sum of its proper divisors (35888172500).

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

25105440400 is a wasteful number, since it uses less digits than its factorization.

25105440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705316 (or 705305 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 25105440400 its reverse (404450152), we get a palindrome (25509890552).

The spelling of 25105440400 in words is "twenty-five billion, one hundred five million, four hundred forty thousand, four hundred".