25081329728 has 168 divisors, whose sum is σ = 62783847000. Its totient is φ = 9853304832.

The previous prime is 25081329727. The next prime is 25081329737. The reversal of 25081329728 is 82792318052.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 25080423424 = 952^2 + 158368^2 .

It is a super-3 number, since 3×25081329728³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25081329727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6072368 + ... + 6076496.

It is an arithmetic number, because the mean of its divisors is an integer number (373713375).

Almost surely, 2^25081329728 is an apocalyptic number.

25081329728 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 25081329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31391923500).

25081329728 is an abundant number, since it is smaller than the sum of its proper divisors (37702517272).

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

25081329728 is a wasteful number, since it uses less digits than its factorization.

25081329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 25081329728 in words is "twenty-five billion, eighty-one million, three hundred twenty-nine thousand, seven hundred twenty-eight".