25432125457200 has 480 divisors, whose sum is σ = 106915758858240. Its totient is φ = 5006460441600.

The previous prime is 25432125457147. The next prime is 25432125457217. The reversal of 25432125457200 is 275452123452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5487544 + ... + 8998743.

It is an arithmetic number, because the mean of its divisors is an integer number (222741164288).

Almost surely, 2^{25432125457200} is an apocalyptic number.

25432125457200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25432125457200 is an abundant number, since it is smaller than the sum of its proper divisors (81483633401040).

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

25432125457200 is a wasteful number, since it uses less digits than its factorization.

25432125457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486345 (or 14486334 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 25432125457200 in words is "twenty-five trillion, four hundred thirty-two billion, one hundred twenty-five million, four hundred fifty-seven thousand, two hundred".