25030540800 has 720 divisors, whose sum is σ = 95197859328. Its totient is φ = 6270566400.

The previous prime is 25030540793. The next prime is 25030540807. The reversal of 25030540800 is 804503052.

25030540800 is a `hidden beast` number, since 250 + 3 + 0 + 5 + 408 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25030540793) and next prime (25030540807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25030540807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153561519 + ... + 153561681.

Almost surely, 2^25030540800 is an apocalyptic number.

25030540800 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 25030540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47598929664).

25030540800 is an abundant number, since it is smaller than the sum of its proper divisors (70167318528).

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

25030540800 is a wasteful number, since it uses less digits than its factorization.

25030540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 25030540800 in words is "twenty-five billion, thirty million, five hundred forty thousand, eight hundred".