25155200 has 96 divisors (see below), whose sum is σ = 71081760. Its totient is φ = 8616960.

The previous prime is 25155197. The next prime is 25155203. The reversal of 25155200 is 255152.

It is an interprime number because it is at equal distance from previous prime (25155197) and next prime (25155203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (25155203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21839 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (740435).

Almost surely, 2^25155200 is an apocalyptic number.

25155200 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 25155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35540880).

25155200 is an abundant number, since it is smaller than the sum of its proper divisors (45926560).

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

25155200 is a wasteful number, since it uses less digits than its factorization.

25155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 25155200 is about 5015.4959874373. The cubic root of 25155200 is about 293.0056027537.

The spelling of 25155200 in words is "twenty-five million, one hundred fifty-five thousand, two hundred".