25755400 has 96 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 8940800.

The previous prime is 25755383. The next prime is 25755407. The reversal of 25755400 is 455752.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25755407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50346 + ... + 50854.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^25755400 is an apocalyptic number.

25755400 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 25755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

25755400 is an abundant number, since it is smaller than the sum of its proper divisors (42543800).

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

25755400 is a wasteful number, since it uses less digits than its factorization.

25755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 25755400 is about 5074.9778324639. The cubic root of 25755400 is about 295.3176698609.

The spelling of 25755400 in words is "twenty-five million, seven hundred fifty-five thousand, four hundred".