25728084096 has 384 divisors, whose sum is σ = 84292669440. Its totient is φ = 6879375360.

The previous prime is 25728084071. The next prime is 25728084139. The reversal of 25728084096 is 69048082752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25728084096² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 16417905 + ... + 16419471.

It is an arithmetic number, because the mean of its divisors is an integer number (219512160).

Almost surely, 2^25728084096 is an apocalyptic number.

25728084096 is a gapful number since it is divisible by the number (26) 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 25728084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42146334720).

25728084096 is an abundant number, since it is smaller than the sum of its proper divisors (58564585344).

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

25728084096 is a wasteful number, since it uses less digits than its factorization.

25728084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 25728084096 in words is "twenty-five billion, seven hundred twenty-eight million, eighty-four thousand, ninety-six".