25414333000 has 256 divisors, whose sum is σ = 72589271040. Its totient is φ = 8138592000.

The previous prime is 25414332997. The next prime is 25414333003. The reversal of 25414333000 is 33341452.

It is an interprime number because it is at equal distance from previous prime (25414332997) and next prime (25414333003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25414333003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6921165 + ... + 6924835.

It is an arithmetic number, because the mean of its divisors is an integer number (283551840).

Almost surely, 2^25414333000 is an apocalyptic number.

25414333000 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 25414333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36294635520).

25414333000 is an abundant number, since it is smaller than the sum of its proper divisors (47174938040).

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

25414333000 is a wasteful number, since it uses less digits than its factorization.

25414333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 25414333000 its reverse (33341452), we get a palindrome (25447674452).

The spelling of 25414333000 in words is "twenty-five billion, four hundred fourteen million, three hundred thirty-three thousand".