25084407794688 has 2112 divisors, whose sum is σ = 89535992232960. Its totient is φ = 6994846679040.

The previous prime is 25084407794669. The next prime is 25084407794731. The reversal of 25084407794688 is 88649770448052.

25084407794688 is a `hidden beast` number, since 2 + 50 + 8 + 4 + 40 + 7 + 79 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×25084407794688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 281847278548 + ... + 281847278636.

Almost surely, 2^{25084407794688} 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 25084407794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44767996116480).

25084407794688 is an abundant number, since it is smaller than the sum of its proper divisors (64451584438272).

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

25084407794688 is an equidigital number, since it uses as much as digits as its factorization.

25084407794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 25084407794688 in words is "twenty-five trillion, eighty-four billion, four hundred seven million, seven hundred ninety-four thousand, six hundred eighty-eight".