25241323968 has 336 divisors, whose sum is σ = 85553604864. Its totient is φ = 6965268480.

The previous prime is 25241323963. The next prime is 25241323979. The reversal of 25241323968 is 86932314252.

25241323968 is a `hidden beast` number, since 2 + 524 + 1 + 32 + 3 + 96 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25241323963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17687671 + ... + 17689097.

It is an arithmetic number, because the mean of its divisors is an integer number (254623824).

Almost surely, 2^25241323968 is an apocalyptic number.

25241323968 is a gapful number since it is divisible by the number (28) 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 25241323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42776802432).

25241323968 is an abundant number, since it is smaller than the sum of its proper divisors (60312280896).

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

25241323968 is a wasteful number, since it uses less digits than its factorization.

25241323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1587 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

It can be divided in two parts, 2524132 and 3968, that added together give a square (2528100 = 1590²).

The spelling of 25241323968 in words is "twenty-five billion, two hundred forty-one million, three hundred twenty-three thousand, nine hundred sixty-eight".