25025008416768 has 192 divisors, whose sum is σ = 74143686708000. Its totient is φ = 8340137312256.

The previous prime is 25025008416757. The next prime is 25025008416769. The reversal of 25025008416768 is 86761480052052.

25025008416768 is a `hidden beast` number, since 2 + 50 + 2 + 500 + 8 + 4 + 16 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25025008416769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 323830038 + ... + 323907306.

Almost surely, 2^{25025008416768} 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 25025008416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37071843354000).

25025008416768 is an abundant number, since it is smaller than the sum of its proper divisors (49118678291232).

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

25025008416768 is an equidigital number, since it uses as much as digits as its factorization.

25025008416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83157 (or 83131 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 25025008416768 in words is "twenty-five trillion, twenty-five billion, eight million, four hundred sixteen thousand, seven hundred sixty-eight".