25450040000 has 280 divisors, whose sum is σ = 78689411328. Its totient is φ = 7931520000.

The previous prime is 25450039999. The next prime is 25450040039. The reversal of 25450040000 is 4005452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 3075869 + ... + 3084131.

Almost surely, 2^25450040000 is an apocalyptic number.

25450040000 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 25450040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39344705664).

25450040000 is an abundant number, since it is smaller than the sum of its proper divisors (53239371328).

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

25450040000 is an equidigital number, since it uses as much as digits as its factorization.

25450040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 25450040000 its reverse (4005452), we get a palindrome (25454045452).

The spelling of 25450040000 in words is "twenty-five billion, four hundred fifty million, forty thousand".