25256125200 has 240 divisors, whose sum is σ = 84793965696. Its totient is φ = 6413721600.

The previous prime is 25256125189. The next prime is 25256125211. The reversal of 25256125200 is 252165252.

It is an interprime number because it is at equal distance from previous prime (25256125189) and next prime (25256125211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6649702 + ... + 6653498.

Almost surely, 2^25256125200 is an apocalyptic number.

25256125200 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 25256125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42396982848).

25256125200 is an abundant number, since it is smaller than the sum of its proper divisors (59537840496).

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

25256125200 is a wasteful number, since it uses less digits than its factorization.

25256125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 25256125200 in words is "twenty-five billion, two hundred fifty-six million, one hundred twenty-five thousand, two hundred".