25082228664 has 192 divisors, whose sum is σ = 73049558400. Its totient is φ = 8056278144.

The previous prime is 25082228651. The next prime is 25082228711. The reversal of 25082228664 is 46682228052.

25082228664 is a `hidden beast` number, since 2 + 508 + 2 + 2 + 2 + 86 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7694667 + ... + 7697925.

It is an arithmetic number, because the mean of its divisors is an integer number (380466450).

Almost surely, 2^25082228664 is an apocalyptic number.

25082228664 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 25082228664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36524779200).

25082228664 is an abundant number, since it is smaller than the sum of its proper divisors (47967329736).

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

25082228664 is a wasteful number, since it uses less digits than its factorization.

25082228664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 25082228664 in words is "twenty-five billion, eighty-two million, two hundred twenty-eight thousand, six hundred sixty-four".