25981949760 has 672 divisors, whose sum is σ = 96247549440. Its totient is φ = 5900304384.

The previous prime is 25981949759. The next prime is 25981949761. The reversal of 25981949760 is 6794918952.

It is an interprime number because it is at equal distance from previous prime (25981949759) and next prime (25981949761).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 25981949694 and 25981949703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25981949761) 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 95 ways as a sum of consecutive naturals, for example, 328885401 + ... + 328885479.

It is an arithmetic number, because the mean of its divisors is an integer number (143225520).

Almost surely, 2^25981949760 is an apocalyptic number.

25981949760 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 25981949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48123774720).

25981949760 is an abundant number, since it is smaller than the sum of its proper divisors (70265599680).

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

25981949760 is a wasteful number, since it uses less digits than its factorization.

25981949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 25981949760 in words is "twenty-five billion, nine hundred eighty-one million, nine hundred forty-nine thousand, seven hundred sixty".