25535000144000 has 256 divisors, whose sum is σ = 70758843667200. Its totient is φ = 9107218022400.

The previous prime is 25535000143967. The next prime is 25535000144039. The reversal of 25535000144000 is 44100053552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697509 + ... + 7638491.

It is an arithmetic number, because the mean of its divisors is an integer number (276401733075).

Almost surely, 2^{25535000144000} is an apocalyptic number.

25535000144000 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 25535000144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35379421833600).

25535000144000 is an abundant number, since it is smaller than the sum of its proper divisors (45223843523200).

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

25535000144000 is a wasteful number, since it uses less digits than its factorization.

25535000144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941048 (or 4941026 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 25535000144000 its reverse (44100053552), we get a palindrome (25579100197552).

The spelling of 25535000144000 in words is "twenty-five trillion, five hundred thirty-five billion, one hundred forty-four thousand".