25545314400 has 288 divisors, whose sum is σ = 86520462336. Its totient is φ = 6539520000.

The previous prime is 25545314371. The next prime is 25545314407. The reversal of 25545314400 is 441354552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25545314407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9745090 + ... + 9747710.

It is an arithmetic number, because the mean of its divisors is an integer number (300418272).

Almost surely, 2^25545314400 is an apocalyptic number.

25545314400 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 25545314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43260231168).

25545314400 is an abundant number, since it is smaller than the sum of its proper divisors (60975147936).

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

25545314400 is a wasteful number, since it uses less digits than its factorization.

25545314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 25545314400 its reverse (441354552), we get a palindrome (25986668952).

The spelling of 25545314400 in words is "twenty-five billion, five hundred forty-five million, three hundred fourteen thousand, four hundred".