25718800 has 60 divisors (see below), whose sum is σ = 62445780. Its totient is φ = 10178560.

The previous prime is 25718783. The next prime is 25718839. The reversal of 25718800 is 881752.

It can be written as a sum of positive squares in 6 ways, for example, as 9461776 + 16257024 = 3076^2 + 4032^2 .

It is a super-2 number, since 2×25718800² = 1322913346880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44916 + ... + 45484.

It is an arithmetic number, because the mean of its divisors is an integer number (1040763).

Almost surely, 2^25718800 is an apocalyptic number.

25718800 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 25718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222890).

25718800 is an abundant number, since it is smaller than the sum of its proper divisors (36726980).

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

25718800 is a wasteful number, since it uses less digits than its factorization.

25718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 25718800 is about 5071.3706234114. The cubic root of 25718800 is about 295.1777153831.

The spelling of 25718800 in words is "twenty-five million, seven hundred eighteen thousand, eight hundred".