25500718080 has 440 divisors, whose sum is σ = 96782209128. Its totient is φ = 6398410752.

The previous prime is 25500718069. The next prime is 25500718081. The reversal of 25500718080 is 8081700552.

25500718080 is a `hidden beast` number, since 2 + 5 + 500 + 71 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 25181881344 = 17856^2 + 158688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25500718081) 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 39 ways as a sum of consecutive naturals, for example, 7048432 + ... + 7052048.

Almost surely, 2^25500718080 is an apocalyptic number.

25500718080 is a gapful number since it is divisible by the number (20) 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 25500718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48391104564).

25500718080 is an abundant number, since it is smaller than the sum of its proper divisors (71281491048).

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

25500718080 is a wasteful number, since it uses less digits than its factorization.

25500718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 25500718080 in words is "twenty-five billion, five hundred million, seven hundred eighteen thousand, eighty".