25250400000 has 864 divisors, whose sum is σ = 107303132160. Its totient is φ = 5736960000.

The previous prime is 25250399983. The next prime is 25250400001. The reversal of 25250400000 is 405252.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25250400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151199917 + ... + 151200083.

It is an arithmetic number, because the mean of its divisors is an integer number (124193440).

Almost surely, 2^25250400000 is an apocalyptic number.

25250400000 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 25250400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53651566080).

25250400000 is an abundant number, since it is smaller than the sum of its proper divisors (82052732160).

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

25250400000 is an frugal number, since it uses more digits than its factorization.

25250400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

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

Adding to 25250400000 its reverse (405252), we get a palindrome (25250805252).

The spelling of 25250400000 in words is "twenty-five billion, two hundred fifty million, four hundred thousand".