25434421012000 has 768 divisors, whose sum is σ = 85952881437696. Its totient is φ = 7139266560000.

The previous prime is 25434421011983. The next prime is 25434421012001. The reversal of 25434421012000 is 21012443452.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 25434421012000.

It is not an unprimeable number, because it can be changed into a prime (25434421012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164086534 + ... + 164241466.

It is an arithmetic number, because the mean of its divisors is an integer number (111917814372).

Almost surely, 2^{25434421012000} is an apocalyptic number.

25434421012000 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 25434421012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42976440718848).

25434421012000 is an abundant number, since it is smaller than the sum of its proper divisors (60518460425696).

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

25434421012000 is a wasteful number, since it uses less digits than its factorization.

25434421012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155030 (or 155012 counting only the distinct ones).

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

Adding to 25434421012000 its reverse (21012443452), we get a palindrome (25455433455452).

The spelling of 25434421012000 in words is "twenty-five trillion, four hundred thirty-four billion, four hundred twenty-one million, twelve thousand".