25226644896 has 288 divisors, whose sum is σ = 78600570048. Its totient is φ = 7643750400.

The previous prime is 25226644867. The next prime is 25226644931. The reversal of 25226644896 is 69844662252.

25226644896 is a `hidden beast` number, since 2 + 52 + 2 + 66 + 448 + 96 = 666.

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

It is a super-2 number, since 2×25226644896² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17384971 + ... + 17386421.

It is an arithmetic number, because the mean of its divisors is an integer number (272918646).

Almost surely, 2^25226644896 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 25226644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39300285024).

25226644896 is an abundant number, since it is smaller than the sum of its proper divisors (53373925152).

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

25226644896 is a wasteful number, since it uses less digits than its factorization.

25226644896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1593 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 25226644896 in words is "twenty-five billion, two hundred twenty-six million, six hundred forty-four thousand, eight hundred ninety-six".