25533142400 has 96 divisors (see below), whose sum is σ = 66394727400. Its totient is φ = 9675694080.

The previous prime is 25533142391. The next prime is 25533142429. The reversal of 25533142400 is 424133552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 149177 + ... + 270776.

Almost surely, 2^25533142400 is an apocalyptic number.

25533142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25533142400 is an abundant number, since it is smaller than the sum of its proper divisors (40861585000).

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

25533142400 is a wasteful number, since it uses less digits than its factorization.

25533142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419996 (or 419979 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 25533142400 its reverse (424133552), we get a palindrome (25957275952).

The spelling of 25533142400 in words is "twenty-five billion, five hundred thirty-three million, one hundred forty-two thousand, four hundred".