25043211648 has 288 divisors, whose sum is σ = 90281187360. Its totient is φ = 6604609536.

The previous prime is 25043211637. The next prime is 25043211671. The reversal of 25043211648 is 84611234052.

It is a happy number.

25043211648 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 3 + 2 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 716761 + ... + 750887.

It is an arithmetic number, because the mean of its divisors is an integer number (313476345).

Almost surely, 2^25043211648 is an apocalyptic number.

25043211648 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 25043211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45140593680).

25043211648 is an abundant number, since it is smaller than the sum of its proper divisors (65237975712).

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

25043211648 is a wasteful number, since it uses less digits than its factorization.

25043211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34174 (or 34152 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25043211648 in words is "twenty-five billion, forty-three million, two hundred eleven thousand, six hundred forty-eight".