25200134421400 has 96 divisors (see below), whose sum is σ = 59183637786000. Its totient is φ = 9978020928000.

The previous prime is 25200134421391. The next prime is 25200134421403. The reversal of 25200134421400 is 412443100252.

It is a super-2 number, since 2×25200134421400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25200134421403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91752679 + ... + 92026921.

Almost surely, 2^{25200134421400} is an apocalyptic number.

25200134421400 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 25200134421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29591818893000).

25200134421400 is an abundant number, since it is smaller than the sum of its proper divisors (33983503364600).

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

25200134421400 is a wasteful number, since it uses less digits than its factorization.

25200134421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278909 (or 278900 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 25200134421400 its reverse (412443100252), we get a palindrome (25612577521652).

The spelling of 25200134421400 in words is "twenty-five trillion, two hundred billion, one hundred thirty-four million, four hundred twenty-one thousand, four hundred".