25751232000 has 960 divisors, whose sum is σ = 105723858240. Its totient is φ = 5971968000.

The previous prime is 25751231977. The next prime is 25751232037. The reversal of 25751232000 is 23215752.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142271910 + ... + 142272090.

It is an arithmetic number, because the mean of its divisors is an integer number (110129019).

Almost surely, 2^25751232000 is an apocalyptic number.

25751232000 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 25751232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52861929120).

25751232000 is an abundant number, since it is smaller than the sum of its proper divisors (79972626240).

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

25751232000 is a wasteful number, since it uses less digits than its factorization.

25751232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 25751232000 its reverse (23215752), we get a palindrome (25774447752).

The spelling of 25751232000 in words is "twenty-five billion, seven hundred fifty-one million, two hundred thirty-two thousand".