25540200 has 144 divisors (see below), whose sum is σ = 98074080. Its totient is φ = 5834880.

The previous prime is 25540181. The next prime is 25540211. The reversal of 25540200 is 204552.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11587 + ... + 13613.

It is an arithmetic number, because the mean of its divisors is an integer number (681070).

Almost surely, 2^25540200 is an apocalyptic number.

25540200 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 25540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49037040).

25540200 is an abundant number, since it is smaller than the sum of its proper divisors (72533880).

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

25540200 is a wasteful number, since it uses less digits than its factorization.

25540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 25540200 is about 5053.7312947960. The cubic root of 25540200 is about 294.4928565098.

Adding to 25540200 its reverse (204552), we get a palindrome (25744752).

It can be divided in two parts, 25 and 540200, that added together give a square (540225 = 735²).

The spelling of 25540200 in words is "twenty-five million, five hundred forty thousand, two hundred".