25320202400000 has 108 divisors (see below), whose sum is σ = 63172830875364. Its totient is φ = 10128080640000.

The previous prime is 25320202399993. The next prime is 25320202400057. The reversal of 25320202400000 is 420202352.

It can be written as a sum of positive squares in 6 ways, for example, as 24777776041984 + 542426358016 = 4977728^2 + 736496^2 .

It is a super-2 number, since 2×25320202400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 15025127 + ... + 16625126.

Almost surely, 2^{25320202400000} is an apocalyptic number.

25320202400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25320202400000 is an abundant number, since it is smaller than the sum of its proper divisors (37852628475364).

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

25320202400000 is an frugal number, since it uses more digits than its factorization.

25320202400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650294 (or 31650260 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 25320202400000 its reverse (420202352), we get a palindrome (25320622602352).

The spelling of 25320202400000 in words is "twenty-five trillion, three hundred twenty billion, two hundred two million, four hundred thousand".