25214400000 has 720 divisors, whose sum is σ = 97242713568. Its totient is φ = 6266880000.

The previous prime is 25214399993. The next prime is 25214400007. The reversal of 25214400000 is 441252.

25214400000 is a `hidden beast` number, since 252 + 14 + 400 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25214399993) and next prime (25214400007).

It is a tau number, because it is divible by the number of its divisors (720).

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 (25214400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244799949 + ... + 244800051.

Almost surely, 2^25214400000 is an apocalyptic number.

25214400000 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 25214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48621356784).

25214400000 is an abundant number, since it is smaller than the sum of its proper divisors (72028313568).

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

25214400000 is an equidigital number, since it uses as much as digits as its factorization.

25214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 25214400000 its reverse (441252), we get a palindrome (25214841252).

The spelling of 25214400000 in words is "twenty-five billion, two hundred fourteen million, four hundred thousand".