25254076800 has 192 divisors, whose sum is σ = 84592353600. Its totient is φ = 6620129280.

The previous prime is 25254076789. The next prime is 25254076811. The reversal of 25254076800 is 867045252.

It is an interprime number because it is at equal distance from previous prime (25254076789) and next prime (25254076811).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544107 + ... + 588693.

It is an arithmetic number, because the mean of its divisors is an integer number (440585175).

Almost surely, 2^25254076800 is an apocalyptic number.

25254076800 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 25254076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42296176800).

25254076800 is an abundant number, since it is smaller than the sum of its proper divisors (59338276800).

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

25254076800 is a wasteful number, since it uses less digits than its factorization.

25254076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44673 (or 44656 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 25254076800 in words is "twenty-five billion, two hundred fifty-four million, seventy-six thousand, eight hundred".