25006816128 has 512 divisors, whose sum is σ = 84226867200. Its totient is φ = 6409912320.

The previous prime is 25006816127. The next prime is 25006816129. The reversal of 25006816128 is 82161860052.

It is an interprime number because it is at equal distance from previous prime (25006816127) and next prime (25006816129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25006816127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179905083 + ... + 179905221.

It is an arithmetic number, because the mean of its divisors is an integer number (164505600).

Almost surely, 2^25006816128 is an apocalyptic number.

25006816128 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 25006816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42113433600).

25006816128 is an abundant number, since it is smaller than the sum of its proper divisors (59220051072).

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

25006816128 is a wasteful number, since it uses less digits than its factorization.

25006816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 25006816128 in words is "twenty-five billion, six million, eight hundred sixteen thousand, one hundred twenty-eight".