25984050624 has 336 divisors, whose sum is σ = 87071362560. Its totient is φ = 7255664640.

The previous prime is 25984050601. The next prime is 25984050629. The reversal of 25984050624 is 42605048952.

25984050624 is a `hidden beast` number, since 2 + 598 + 4 + 0 + 50 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 25984050624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25984050629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39791482 + ... + 39792134.

It is an arithmetic number, because the mean of its divisors is an integer number (259140960).

Almost surely, 2^25984050624 is an apocalyptic number.

25984050624 is a gapful number since it is divisible by the number (24) 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 25984050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535681280).

25984050624 is an abundant number, since it is smaller than the sum of its proper divisors (61087311936).

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

25984050624 is a wasteful number, since it uses less digits than its factorization.

25984050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25984050624 in words is "twenty-five billion, nine hundred eighty-four million, fifty thousand, six hundred twenty-four".