25544253134400 has 1344 divisors, whose sum is σ = 112637557401600. Its totient is φ = 4894624972800.

The previous prime is 25544253134371. The next prime is 25544253134419. The reversal of 25544253134400 is 443135244552.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6231823551 + ... + 6231827649.

It is an arithmetic number, because the mean of its divisors is an integer number (83807706400).

Almost surely, 2^{25544253134400} is an apocalyptic number.

25544253134400 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 25544253134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56318778700800).

25544253134400 is an abundant number, since it is smaller than the sum of its proper divisors (87093304267200).

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

25544253134400 is a wasteful number, since it uses less digits than its factorization.

25544253134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 25544253134400 its reverse (443135244552), we get a palindrome (25987388378952).

The spelling of 25544253134400 in words is "twenty-five trillion, five hundred forty-four billion, two hundred fifty-three million, one hundred thirty-four thousand, four hundred".