25980249792 has 224 divisors, whose sum is σ = 83355566080. Its totient is φ = 6976005120.

The previous prime is 25980249787. The next prime is 25980249797. The reversal of 25980249792 is 29794208952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25980249787) and next prime (25980249797).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (25980249797) 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 31 ways as a sum of consecutive naturals, for example, 3239067 + ... + 3247077.

Almost surely, 2^25980249792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25980249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41677783040).

25980249792 is an abundant number, since it is smaller than the sum of its proper divisors (57375316288).

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

25980249792 is a wasteful number, since it uses less digits than its factorization.

25980249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 25980249792 in words is "twenty-five billion, nine hundred eighty million, two hundred forty-nine thousand, seven hundred ninety-two".