25944959040 has 1792 divisors, whose sum is σ = 122895360000. Its totient is φ = 4551966720.

The previous prime is 25944959009. The next prime is 25944959101. The reversal of 25944959040 is 4095944952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 894653746 + ... + 894653774.

It is an arithmetic number, because the mean of its divisors is an integer number (68580000).

Almost surely, 2^25944959040 is an apocalyptic number.

25944959040 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 25944959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680000).

25944959040 is an abundant number, since it is smaller than the sum of its proper divisors (96950400960).

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

25944959040 is a wasteful number, since it uses less digits than its factorization.

25944959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 25944959040 in words is "twenty-five billion, nine hundred forty-four million, nine hundred fifty-nine thousand, forty".