25603034688 has 1050 divisors, whose sum is σ = 103044862998. Its totient is φ = 6258954240.

The previous prime is 25603034687. The next prime is 25603034689. The reversal of 25603034688 is 88643030652.

It is a happy number.

25603034688 is a `hidden beast` number, since 2 + 5 + 603 + 0 + 34 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25603034687) and next prime (25603034689).

It can be written as a sum of positive squares in only one way, i.e., 24096973824 + 1506060864 = 155232^2 + 38808^2 .

It is not an unprimeable number, because it can be changed into a prime (25603034687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1506060856 + ... + 1506060872.

Almost surely, 2^25603034688 is an apocalyptic number.

25603034688 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 25603034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51522431499).

25603034688 is an abundant number, since it is smaller than the sum of its proper divisors (77441828310).

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

25603034688 is an equidigital number, since it uses as much as digits as its factorization.

25603034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25603034688 in words is "twenty-five billion, six hundred three million, thirty-four thousand, six hundred eighty-eight".