25802401120 has 192 divisors, whose sum is σ = 64761016320. Its totient is φ = 9699379200.

The previous prime is 25802401087. The next prime is 25802401133. The reversal of 25802401120 is 2110420852.

It is a congruent number.

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, 66329886 + ... + 66330274.

It is an arithmetic number, because the mean of its divisors is an integer number (337296960).

Almost surely, 2^25802401120 is an apocalyptic number.

25802401120 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 25802401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32380508160).

25802401120 is an abundant number, since it is smaller than the sum of its proper divisors (38958615200).

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

25802401120 is a wasteful number, since it uses less digits than its factorization.

25802401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 25802401120 its reverse (2110420852), we get a palindrome (27912821972).

The spelling of 25802401120 in words is "twenty-five billion, eight hundred two million, four hundred one thousand, one hundred twenty".