25531541250000 has 640 divisors, whose sum is σ = 83987503741440. Its totient is φ = 6682368000000.

The previous prime is 25531541249983. The next prime is 25531541250023. The reversal of 25531541250000 is 5214513552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75761249832 + ... + 75761250168.

It is an arithmetic number, because the mean of its divisors is an integer number (131230474596).

Almost surely, 2^{25531541250000} is an apocalyptic number.

25531541250000 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 25531541250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41993751870720).

25531541250000 is an abundant number, since it is smaller than the sum of its proper divisors (58455962491440).

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

25531541250000 is an frugal number, since it uses more digits than its factorization.

25531541250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

Adding to 25531541250000 its reverse (5214513552), we get a palindrome (25536755763552).

The spelling of 25531541250000 in words is "twenty-five trillion, five hundred thirty-one billion, five hundred forty-one million, two hundred fifty thousand".